diff --git a/doc/source/reference/arrays.rst b/doc/source/reference/arrays.rst
index bf9520c54040d..7f464bf952bfb 100644
--- a/doc/source/reference/arrays.rst
+++ b/doc/source/reference/arrays.rst
@@ -295,6 +295,7 @@ Properties
    Interval.closed
    Interval.closed_left
    Interval.closed_right
+   Interval.is_empty
    Interval.left
    Interval.length
    Interval.mid
@@ -331,6 +332,7 @@ A collection of intervals may be stored in an :class:`arrays.IntervalArray`.
       arrays.IntervalArray.closed
       arrays.IntervalArray.mid
       arrays.IntervalArray.length
+      arrays.IntervalArray.is_empty
       arrays.IntervalArray.is_non_overlapping_monotonic
       arrays.IntervalArray.from_arrays
       arrays.IntervalArray.from_tuples
diff --git a/doc/source/reference/indexing.rst b/doc/source/reference/indexing.rst
index 65860eb5c2f51..576f734d517aa 100644
--- a/doc/source/reference/indexing.rst
+++ b/doc/source/reference/indexing.rst
@@ -254,6 +254,7 @@ IntervalIndex components
    IntervalIndex.closed
    IntervalIndex.length
    IntervalIndex.values
+   IntervalIndex.is_empty
    IntervalIndex.is_non_overlapping_monotonic
    IntervalIndex.is_overlapping
    IntervalIndex.get_loc
diff --git a/doc/source/whatsnew/v0.25.0.rst b/doc/source/whatsnew/v0.25.0.rst
index 77426e950798c..8f6cd586c29b3 100644
--- a/doc/source/whatsnew/v0.25.0.rst
+++ b/doc/source/whatsnew/v0.25.0.rst
@@ -212,6 +212,7 @@ Other enhancements
 - :class:`pandas.offsets.BusinessHour` supports multiple opening hours intervals (:issue:`15481`)
 - :func:`read_excel` can now use ``openpyxl`` to read Excel files via the ``engine='openpyxl'`` argument. This will become the default in a future release (:issue:`11499`)
 - :func:`pandas.io.excel.read_excel` supports reading OpenDocument tables. Specify ``engine='odf'`` to enable. Consult the :ref:`IO User Guide <io.ods>` for more details (:issue:`9070`)
+- :class:`Interval`, :class:`IntervalIndex`, and :class:`~arrays.IntervalArray` have gained an :attr:`~Interval.is_empty` attribute denoting if the given interval(s) are empty (:issue:`27219`)
 
 .. _whatsnew_0250.api_breaking:
 
diff --git a/pandas/_libs/interval.pyx b/pandas/_libs/interval.pyx
index 6c1df419865ed..3c7ec70fb1f88 100644
--- a/pandas/_libs/interval.pyx
+++ b/pandas/_libs/interval.pyx
@@ -107,6 +107,59 @@ cdef class IntervalMixin:
         """Return the length of the Interval"""
         return self.right - self.left
 
+    @property
+    def is_empty(self):
+        """
+        Indicates if an interval is empty, meaning it contains no points.
+
+        .. versionadded:: 0.25.0
+
+        Returns
+        -------
+        bool or ndarray
+            A boolean indicating if a scalar :class:`Interval` is empty, or a
+            boolean ``ndarray`` positionally indicating if an ``Interval`` in
+            an :class:`~arrays.IntervalArray` or :class:`IntervalIndex` is
+            empty.
+
+        Examples
+        --------
+        An :class:`Interval` that contains points is not empty:
+
+        >>> pd.Interval(0, 1, closed='right').is_empty
+        False
+
+        An ``Interval`` that does not contain any points is empty:
+
+        >>> pd.Interval(0, 0, closed='right').is_empty
+        True
+        >>> pd.Interval(0, 0, closed='left').is_empty
+        True
+        >>> pd.Interval(0, 0, closed='neither').is_empty
+        True
+
+        An ``Interval`` that contains a single point is not empty:
+
+        >>> pd.Interval(0, 0, closed='both').is_empty
+        False
+
+        An :class:`~arrays.IntervalArray` or :class:`IntervalIndex` returns a
+        boolean ``ndarray`` positionally indicating if an ``Interval`` is
+        empty:
+
+        >>> ivs = [pd.Interval(0, 0, closed='neither'),
+        ...        pd.Interval(1, 2, closed='neither')]
+        >>> pd.arrays.IntervalArray(ivs).is_empty
+        array([ True, False])
+
+        Missing values are not considered empty:
+
+        >>> ivs = [pd.Interval(0, 0, closed='neither'), np.nan]
+        >>> pd.IntervalIndex(ivs).is_empty
+        array([ True, False])
+        """
+        return (self.right == self.left) & (self.closed != 'both')
+
     def _check_closed_matches(self, other, name='other'):
         """Check if the closed attribute of `other` matches.
 
diff --git a/pandas/core/arrays/interval.py b/pandas/core/arrays/interval.py
index aa56d99d298f4..cf8ca25857f4e 100644
--- a/pandas/core/arrays/interval.py
+++ b/pandas/core/arrays/interval.py
@@ -66,6 +66,7 @@
 closed
 mid
 length
+is_empty
 is_non_overlapping_monotonic
 %(extra_attributes)s\
 
diff --git a/pandas/tests/arrays/interval/test_interval.py b/pandas/tests/arrays/interval/test_interval.py
index 34de36b4f6665..4a7962d88a44e 100644
--- a/pandas/tests/arrays/interval/test_interval.py
+++ b/pandas/tests/arrays/interval/test_interval.py
@@ -2,7 +2,9 @@
 import pytest
 
 import pandas as pd
-from pandas import Index, Interval, IntervalIndex, date_range, timedelta_range
+from pandas import (
+    Index, Interval, IntervalIndex, Timedelta, Timestamp, date_range,
+    timedelta_range)
 from pandas.core.arrays import IntervalArray
 import pandas.util.testing as tm
 
@@ -23,6 +25,23 @@ def left_right_dtypes(request):
     return request.param
 
 
+class TestAttributes:
+    @pytest.mark.parametrize('left, right', [
+        (0, 1),
+        (Timedelta('0 days'), Timedelta('1 day')),
+        (Timestamp('2018-01-01'), Timestamp('2018-01-02')),
+        pytest.param(Timestamp('2018-01-01', tz='US/Eastern'),
+                     Timestamp('2018-01-02', tz='US/Eastern'),
+                     marks=pytest.mark.xfail(strict=True, reason='GH 27011'))])
+    @pytest.mark.parametrize('constructor', [IntervalArray, IntervalIndex])
+    def test_is_empty(self, constructor, left, right, closed):
+        # GH27219
+        tuples = [(left, left), (left, right), np.nan]
+        expected = np.array([closed != 'both', False, False])
+        result = constructor.from_tuples(tuples, closed=closed).is_empty
+        tm.assert_numpy_array_equal(result, expected)
+
+
 class TestMethods:
 
     @pytest.mark.parametrize('new_closed', [
diff --git a/pandas/tests/scalar/interval/test_interval.py b/pandas/tests/scalar/interval/test_interval.py
index e19ff82b9b267..6645244318776 100644
--- a/pandas/tests/scalar/interval/test_interval.py
+++ b/pandas/tests/scalar/interval/test_interval.py
@@ -94,6 +94,24 @@ def test_length_timestamp(self, tz, left, right, expected):
         expected = Timedelta(expected)
         assert result == expected
 
+    @pytest.mark.parametrize('left, right', [
+        (0, 1),
+        (Timedelta('0 days'), Timedelta('1 day')),
+        (Timestamp('2018-01-01'), Timestamp('2018-01-02')),
+        (Timestamp('2018-01-01', tz='US/Eastern'),
+         Timestamp('2018-01-02', tz='US/Eastern'))])
+    def test_is_empty(self, left, right, closed):
+        # GH27219
+        # non-empty always return False
+        iv = Interval(left, right, closed)
+        assert iv.is_empty is False
+
+        # same endpoint is empty except when closed='both' (contains one point)
+        iv = Interval(left, left, closed)
+        result = iv.is_empty
+        expected = closed != 'both'
+        assert result is expected
+
     @pytest.mark.parametrize('left, right', [
         ('a', 'z'),
         (('a', 'b'), ('c', 'd')),