diff --git a/pre_commit_hooks/requirements_txt_fixer.py b/pre_commit_hooks/requirements_txt_fixer.py
index dc41815..6190692 100644
--- a/pre_commit_hooks/requirements_txt_fixer.py
+++ b/pre_commit_hooks/requirements_txt_fixer.py
@@ -34,6 +34,18 @@
         else:
             return self.name < requirement.name
 
+    def is_complete(self) -> bool:
+        return (
+            self.value is not None and
+            not self.value.rstrip(b'\r\n').endswith(b'\\')
+        )
+
+    def append_value(self, value: bytes) -> None:
+        if self.value is not None:
+            self.value += value
+        else:
+            self.value = value
+
 
 def fix_requirements(f: IO[bytes]) -> int:
     requirements: List[Requirement] = []
@@ -55,7 +67,7 @@
         # If the most recent requirement object has a value, then it's
         # time to start building the next requirement object.
 
-        if not len(requirements) or requirements[-1].value is not None:
+        if not len(requirements) or requirements[-1].is_complete():
             requirements.append(Requirement())
 
         requirement = requirements[-1]
@@ -73,7 +85,7 @@
         elif line.startswith(b'#') or line.strip() == b'':
             requirement.comments.append(line)
         else:
-            requirement.value = line
+            requirement.append_value(line)
 
     # if a file ends in a comment, preserve it at the end
     if requirements[-1].value is None:
diff --git a/tests/requirements_txt_fixer_test.py b/tests/requirements_txt_fixer_test.py
index 7b9b07d..17a9a41 100644
--- a/tests/requirements_txt_fixer_test.py
+++ b/tests/requirements_txt_fixer_test.py
@@ -50,6 +50,24 @@
             FAIL,
             b'Django\nijk\ngit+ssh://git_url@tag#egg=ocflib\n',
         ),
+        (
+            b'b==1.0.0\n'
+            b'c=2.0.0 \\\n'
+            b' --hash=sha256:abcd\n'
+            b'a=3.0.0 \\\n'
+            b'  --hash=sha256:a1b1c1d1',
+            FAIL,
+            b'a=3.0.0 \\\n'
+            b'  --hash=sha256:a1b1c1d1\n'
+            b'b==1.0.0\n'
+            b'c=2.0.0 \\\n'
+            b' --hash=sha256:abcd\n',
+        ),
+        (
+            b'a=2.0.0 \\\n --hash=sha256:abcd\nb==1.0.0\n',
+            PASS,
+            b'a=2.0.0 \\\n --hash=sha256:abcd\nb==1.0.0\n',
+        ),
     ),
 )
 def test_integration(input_s, expected_retval, output, tmpdir):