diff --git a/doc/source/whatsnew/v0.20.0.txt b/doc/source/whatsnew/v0.20.0.txt
index 9ea7b740bae8f..dee74241a7a28 100644
--- a/doc/source/whatsnew/v0.20.0.txt
+++ b/doc/source/whatsnew/v0.20.0.txt
@@ -356,6 +356,7 @@ Bug Fixes
 - Bug in ``DataFrame.groupby().describe()`` when grouping on ``Index`` containing tuples (:issue:`14848`)
 - Bug in creating a ``MultiIndex`` with tuples and not passing a list of names; this will now raise ``ValueError`` (:issue:`15110`)
 
+- Bug in catching an overflow in ``Timestamp`` + ``Timedelta/Offset`` operations (:issue:`15126`)
 
 
 
diff --git a/pandas/tseries/offsets.py b/pandas/tseries/offsets.py
index abb7018b2e25b..9348cda9804b2 100644
--- a/pandas/tseries/offsets.py
+++ b/pandas/tseries/offsets.py
@@ -2710,6 +2710,9 @@ def __add__(self, other):
             return self.apply(other)
         except ApplyTypeError:
             return NotImplemented
+        except OverflowError:
+            raise OverflowError("the add operation between {} and {} "
+                                "will overflow".format(self, other))
 
     def __eq__(self, other):
         if isinstance(other, compat.string_types):
@@ -2748,14 +2751,26 @@ def nanos(self):
 
     def apply(self, other):
         # Timestamp can handle tz and nano sec, thus no need to use apply_wraps
-        if isinstance(other, (datetime, np.datetime64, date)):
+        if isinstance(other, Timestamp):
+
+            # in order to avoid a recursive
+            # call of __add__ and __radd__, when we
+            # call using the + operator, we directly
+            # call the known metho, as this by definition is
+            # a Timestamp
+            result = other.__add__(self)
+            if result == NotImplemented:
+                raise OverflowError
+            return result
+        elif isinstance(other, (datetime, np.datetime64, date)):
             return as_timestamp(other) + self
+
         if isinstance(other, timedelta):
             return other + self.delta
         elif isinstance(other, type(self)):
             return type(self)(self.n + other.n)
-        else:
-            raise ApplyTypeError('Unhandled type: %s' % type(other).__name__)
+
+        raise ApplyTypeError('Unhandled type: %s' % type(other).__name__)
 
     _prefix = 'undefined'
 
diff --git a/pandas/tseries/tests/test_timedeltas.py b/pandas/tseries/tests/test_timedeltas.py
index 1d07b4ab39a99..48ef9a4db7e28 100644
--- a/pandas/tseries/tests/test_timedeltas.py
+++ b/pandas/tseries/tests/test_timedeltas.py
@@ -971,6 +971,11 @@ def test_overflow(self):
         s2 = s[0:1000]
         result = (s2 - s2.min()).sum()
 
+    def test_overflow_on_construction(self):
+        # xref https://github.com/statsmodels/statsmodels/issues/3374
+        value = pd.Timedelta('1day').value * 20169940
+        self.assertRaises(OverflowError, pd.Timedelta, value)
+
     def test_timedelta_ops_scalar(self):
         # GH 6808
         base = pd.to_datetime('20130101 09:01:12.123456')
diff --git a/pandas/tseries/tests/test_timeseries.py b/pandas/tseries/tests/test_timeseries.py
index b7e77c2eb770a..aeb1b95261291 100644
--- a/pandas/tseries/tests/test_timeseries.py
+++ b/pandas/tseries/tests/test_timeseries.py
@@ -3312,13 +3312,25 @@ def test_datetime64_with_DateOffset(self):
                             assert_func(klass([x + op for x in s]), s + op)
                             assert_func(klass([x - op for x in s]), s - op)
                             assert_func(klass([op + x for x in s]), op + s)
-    # def test_add_timedelta64(self):
-    #     rng = date_range('1/1/2000', periods=5)
-    #     delta = rng.values[3] - rng.values[1]
 
-    #     result = rng + delta
-    #     expected = rng + timedelta(2)
-    #     self.assertTrue(result.equals(expected))
+    def test_overflow_offset(self):
+        # xref https://github.com/statsmodels/statsmodels/issues/3374
+        # ends up multiplying really large numbers which overflow
+
+        t = Timestamp('2017-01-13 00:00:00', freq='D')
+        offset = 20169940 * pd.offsets.Day(1)
+
+        def f():
+            t + offset
+        self.assertRaises(OverflowError, f)
+
+        def f():
+            offset + t
+        self.assertRaises(OverflowError, f)
+
+        def f():
+            t - offset
+        self.assertRaises(OverflowError, f)
 
     def test_get_duplicates(self):
         idx = DatetimeIndex(['2000-01-01', '2000-01-02', '2000-01-02',
diff --git a/pandas/tslib.pyx b/pandas/tslib.pyx
index 9a20c36638bce..eb28adf59f88e 100644
--- a/pandas/tslib.pyx
+++ b/pandas/tslib.pyx
@@ -3125,7 +3125,7 @@ class Timedelta(_Timedelta):
         if not (is_integer_object(other) or is_float_object(other)):
             return NotImplemented
 
-        return Timedelta(other *self.value, unit='ns')
+        return Timedelta(other * self.value, unit='ns')
 
     __rmul__ = __mul__