diff --git a/Doc/library/datetime.rst b/Doc/library/datetime.rst
index 1ee23c2..abdc977 100644
--- a/Doc/library/datetime.rst
+++ b/Doc/library/datetime.rst
@@ -458,6 +458,13 @@
   .. versionadded:: 3.7
 
 
+.. classmethod:: date.fromisocalendar(year, week, day)
+
+   Return a :class:`date` corresponding to the ISO calendar date specified by
+   year, week and day. This is the inverse of the function :meth:`date.isocalendar`.
+
+   .. versionadded:: 3.8
+
 
 Class attributes:
 
@@ -854,6 +861,16 @@
 
   .. versionadded:: 3.7
 
+
+.. classmethod:: datetime.fromisocalendar(year, week, day)
+
+   Return a :class:`datetime` corresponding to the ISO calendar date specified
+   by year, week and day. The non-date components of the datetime are populated
+   with their normal default values. This is the inverse of the function
+   :meth:`datetime.isocalendar`.
+
+   .. versionadded:: 3.8
+
 .. classmethod:: datetime.strptime(date_string, format)
 
    Return a :class:`.datetime` corresponding to *date_string*, parsed according to
diff --git a/Doc/whatsnew/3.8.rst b/Doc/whatsnew/3.8.rst
index 225faf8..ac57335 100644
--- a/Doc/whatsnew/3.8.rst
+++ b/Doc/whatsnew/3.8.rst
@@ -244,6 +244,16 @@
 DLL) and paths added by :func:`~os.add_dll_directory`.
 
 
+datetime
+--------
+
+Added new alternate constructors :meth:`datetime.date.fromisocalendar` and
+:meth:`datetime.datetime.fromisocalendar`, which construct :class:`date` and
+:class:`datetime` objects respectively from ISO year, week number and weekday;
+these are the inverse of each class's ``isocalendar`` method.
+(Contributed by Paul Ganssle in :issue:`36004`.)
+
+
 gettext
 -------
 
diff --git a/Lib/datetime.py b/Lib/datetime.py
index 85bfa48..0e64815 100644
--- a/Lib/datetime.py
+++ b/Lib/datetime.py
@@ -884,6 +884,40 @@
         except Exception:
             raise ValueError(f'Invalid isoformat string: {date_string!r}')
 
+    @classmethod
+    def fromisocalendar(cls, year, week, day):
+        """Construct a date from the ISO year, week number and weekday.
+
+        This is the inverse of the date.isocalendar() function"""
+        # Year is bounded this way because 9999-12-31 is (9999, 52, 5)
+        if not MINYEAR <= year <= MAXYEAR:
+            raise ValueError(f"Year is out of range: {year}")
+
+        if not 0 < week < 53:
+            out_of_range = True
+
+            if week == 53:
+                # ISO years have 53 weeks in them on years starting with a
+                # Thursday and leap years starting on a Wednesday
+                first_weekday = _ymd2ord(year, 1, 1) % 7
+                if (first_weekday == 4 or (first_weekday == 3 and
+                                           _is_leap(year))):
+                    out_of_range = False
+
+            if out_of_range:
+                raise ValueError(f"Invalid week: {week}")
+
+        if not 0 < day < 8:
+            raise ValueError(f"Invalid weekday: {day} (range is [1, 7])")
+
+        # Now compute the offset from (Y, 1, 1) in days:
+        day_offset = (week - 1) * 7 + (day - 1)
+
+        # Calculate the ordinal day for monday, week 1
+        day_1 = _isoweek1monday(year)
+        ord_day = day_1 + day_offset
+
+        return cls(*_ord2ymd(ord_day))
 
     # Conversions to string
 
@@ -2141,6 +2175,7 @@
         week1monday += 7
     return week1monday
 
+
 class timezone(tzinfo):
     __slots__ = '_offset', '_name'
 
diff --git a/Lib/test/datetimetester.py b/Lib/test/datetimetester.py
index 617bf9a..9fe32eb 100644
--- a/Lib/test/datetimetester.py
+++ b/Lib/test/datetimetester.py
@@ -1795,6 +1795,82 @@
             with self.assertRaises(TypeError):
                 self.theclass.fromisoformat(bad_type)
 
+    def test_fromisocalendar(self):
+        # For each test case, assert that fromisocalendar is the
+        # inverse of the isocalendar function
+        dates = [
+            (2016, 4, 3),
+            (2005, 1, 2),       # (2004, 53, 7)
+            (2008, 12, 30),     # (2009, 1, 2)
+            (2010, 1, 2),       # (2009, 53, 6)
+            (2009, 12, 31),     # (2009, 53, 4)
+            (1900, 1, 1),       # Unusual non-leap year (year % 100 == 0)
+            (1900, 12, 31),
+            (2000, 1, 1),       # Unusual leap year (year % 400 == 0)
+            (2000, 12, 31),
+            (2004, 1, 1),       # Leap year
+            (2004, 12, 31),
+            (1, 1, 1),
+            (9999, 12, 31),
+            (MINYEAR, 1, 1),
+            (MAXYEAR, 12, 31),
+        ]
+
+        for datecomps in dates:
+            with self.subTest(datecomps=datecomps):
+                dobj = self.theclass(*datecomps)
+                isocal = dobj.isocalendar()
+
+                d_roundtrip = self.theclass.fromisocalendar(*isocal)
+
+                self.assertEqual(dobj, d_roundtrip)
+
+    def test_fromisocalendar_value_errors(self):
+        isocals = [
+            (2019, 0, 1),
+            (2019, -1, 1),
+            (2019, 54, 1),
+            (2019, 1, 0),
+            (2019, 1, -1),
+            (2019, 1, 8),
+            (2019, 53, 1),
+            (10000, 1, 1),
+            (0, 1, 1),
+            (9999999, 1, 1),
+            (2<<32, 1, 1),
+            (2019, 2<<32, 1),
+            (2019, 1, 2<<32),
+        ]
+
+        for isocal in isocals:
+            with self.subTest(isocal=isocal):
+                with self.assertRaises(ValueError):
+                    self.theclass.fromisocalendar(*isocal)
+
+    def test_fromisocalendar_type_errors(self):
+        err_txformers = [
+            str,
+            float,
+            lambda x: None,
+        ]
+
+        # Take a valid base tuple and transform it to contain one argument
+        # with the wrong type. Repeat this for each argument, e.g.
+        # [("2019", 1, 1), (2019, "1", 1), (2019, 1, "1"), ...]
+        isocals = []
+        base = (2019, 1, 1)
+        for i in range(3):
+            for txformer in err_txformers:
+                err_val = list(base)
+                err_val[i] = txformer(err_val[i])
+                isocals.append(tuple(err_val))
+
+        for isocal in isocals:
+            with self.subTest(isocal=isocal):
+                with self.assertRaises(TypeError):
+                    self.theclass.fromisocalendar(*isocal)
+
+
 #############################################################################
 # datetime tests
 
diff --git a/Misc/NEWS.d/next/Library/2019-02-17-12-55-51.bpo-36004.hCt_KK.rst b/Misc/NEWS.d/next/Library/2019-02-17-12-55-51.bpo-36004.hCt_KK.rst
new file mode 100644
index 0000000..d2162be
--- /dev/null
+++ b/Misc/NEWS.d/next/Library/2019-02-17-12-55-51.bpo-36004.hCt_KK.rst
@@ -0,0 +1,4 @@
+Added new alternate constructors :meth:`datetime.date.fromisocalendar` and
+:meth:`datetime.datetime.fromisocalendar`, which construct date objects from
+ISO year, week number and weekday; these are the inverse of each class's
+``isocalendar`` method. Patch by Paul Ganssle.
diff --git a/Modules/_datetimemodule.c b/Modules/_datetimemodule.c
index b3954c9..83e43a2 100644
--- a/Modules/_datetimemodule.c
+++ b/Modules/_datetimemodule.c
@@ -3003,6 +3003,67 @@
     return NULL;
 }
 
+
+static PyObject *
+date_fromisocalendar(PyObject *cls, PyObject *args, PyObject *kw)
+{
+    static char *keywords[] = {
+        "year", "week", "day", NULL
+    };
+
+    int year, week, day;
+    if (PyArg_ParseTupleAndKeywords(args, kw, "iii:fromisocalendar",
+                keywords,
+                &year, &week, &day) == 0) {
+        if (PyErr_ExceptionMatches(PyExc_OverflowError)) {
+            PyErr_Format(PyExc_ValueError,
+                    "ISO calendar component out of range");
+
+        }
+        return NULL;
+    }
+
+    // Year is bounded to 0 < year < 10000 because 9999-12-31 is (9999, 52, 5)
+    if (year < MINYEAR || year > MAXYEAR) {
+        PyErr_Format(PyExc_ValueError, "Year is out of range: %d", year);
+        return NULL;
+    }
+
+    if (week <= 0 || week >= 53) {
+        int out_of_range = 1;
+        if (week == 53) {
+            // ISO years have 53 weeks in it on years starting with a Thursday
+            // and on leap years starting on Wednesday
+            int first_weekday = weekday(year, 1, 1);
+            if (first_weekday == 3 || (first_weekday == 2 && is_leap(year))) {
+                out_of_range = 0;
+            }
+        }
+
+        if (out_of_range) {
+            PyErr_Format(PyExc_ValueError, "Invalid week: %d", week);
+            return NULL;
+        }
+    }
+
+    if (day <= 0 || day >= 8) {
+        PyErr_Format(PyExc_ValueError, "Invalid day: %d (range is [1, 7])",
+                     day);
+        return NULL;
+    }
+
+    // Convert (Y, W, D) to (Y, M, D) in-place
+    int day_1 = iso_week1_monday(year);
+
+    int month = week;
+    int day_offset = (month - 1)*7 + day - 1;
+
+    ord_to_ymd(day_1 + day_offset, &year, &month, &day);
+
+    return new_date_subclass_ex(year, month, day, cls);
+}
+
+
 /*
  * Date arithmetic.
  */
@@ -3296,6 +3357,12 @@
                                                          METH_CLASS,
       PyDoc_STR("str -> Construct a date from the output of date.isoformat()")},
 
+     {"fromisocalendar", (PyCFunction)(void(*)(void))date_fromisocalendar,
+      METH_VARARGS | METH_KEYWORDS | METH_CLASS,
+      PyDoc_STR("int, int, int -> Construct a date from the ISO year, week "
+                "number and weekday.\n\n"
+                "This is the inverse of the date.isocalendar() function")},
+
     {"today",         (PyCFunction)date_today,   METH_NOARGS | METH_CLASS,
      PyDoc_STR("Current date or datetime:  same as "
                "self.__class__.fromtimestamp(time.time()).")},