diff --git a/pypika/terms.py b/pypika/terms.py
index a277e1a5..0d523d10 100644
--- a/pypika/terms.py
+++ b/pypika/terms.py
@@ -147,6 +147,9 @@ def isnotnull(self) -> 'NotNullCriterion':
     def bitwiseand(self, value: int) -> "BitwiseAndCriterion":
         return BitwiseAndCriterion(self, self.wrap_constant(value))
 
+    def bitwiseor(self, value: int) -> "BitwiseOrCriterion":
+        return BitwiseOrCriterion(self, self.wrap_constant(value))
+
     def gt(self, other: Any) -> "BasicCriterion":
         return self > other
 
@@ -1045,6 +1048,39 @@ def get_sql(self, **kwargs: Any) -> str:
         return format_alias_sql(sql, self.alias, **kwargs)
 
 
+class BitwiseOrCriterion(Criterion):
+    def __init__(self, term: Term, value: Any, alias: Optional[str] = None) -> None:
+        super().__init__(alias)
+        self.term = term
+        self.value = value
+
+    def nodes_(self) -> Iterator[NodeT]:
+        yield self
+        yield from self.term.nodes_()
+        yield from self.value.nodes_()
+
+    @builder
+    def replace_table(self, current_table: Optional["Table"], new_table: Optional["Table"]) -> "BitwiseOrCriterion":
+        """
+        Replaces all occurrences of the specified table with the new table. Useful when reusing fields across queries.
+
+        :param current_table:
+            The table to be replaced.
+        :param new_table:
+            The table to replace with.
+        :return:
+            A copy of the criterion with the tables replaced.
+        """
+        self.term = self.term.replace_table(current_table, new_table)
+
+    def get_sql(self, **kwargs: Any) -> str:
+        sql = "({term} | {value})".format(
+            term=self.term.get_sql(**kwargs),
+            value=self.value,
+        )
+        return format_alias_sql(sql, self.alias, **kwargs)
+
+
 class NullCriterion(Criterion):
     def __init__(self, term: Term, alias: Optional[str] = None) -> None:
         super().__init__(alias)
diff --git a/pypika/tests/test_criterions.py b/pypika/tests/test_criterions.py
index fca2ceee..a0893edd 100644
--- a/pypika/tests/test_criterions.py
+++ b/pypika/tests/test_criterions.py
@@ -270,6 +270,23 @@ def test__bitwise_and_in_where_clause(self):
 
         self.assertEqual('SELECT "abc" FROM "items" WHERE ("foo" & 1)=1', str(q))
 
+    def test__criterion_bitwise_or(self):
+        c1 = Field("foo").bitwiseor(2)
+        c2 = Field("foo", table=self.t).bitwiseor(10) == 2
+
+        self.assertEqual('("foo" | 2)', str(c1))
+        self.assertEqual('("crit"."foo" | 10)=2', str(c2))
+
+    def test__criterion_bitwise_or_with_alias(self):
+        c1 = Field("foo").bitwiseor(2).as_('alias')
+
+        self.assertEqual('("foo" | 2) "alias"', str(c1))
+
+    def test__bitwise_or_in_where_clause(self):
+        q = QueryBuilder().from_('items').select('abc').where(Field("foo").bitwiseor(1) == 1)
+
+        self.assertEqual('SELECT "abc" FROM "items" WHERE ("foo" | 1)=1', str(q))
+
 
 class NotTests(unittest.TestCase):
     table_abc, table_efg = Table("abc", alias="cx0"), Table("efg", alias="cx1")