diff --git a/dvc/repo/get.py b/dvc/repo/get.py
index 9096216c9..258f6d884 100644
--- a/dvc/repo/get.py
+++ b/dvc/repo/get.py
@@ -21,6 +21,7 @@ logger = logging.getLogger(__name__)
 @staticmethod
 def get(url, path, out=None, rev=None):
     out = resolve_output(path, out)
+    path = path.lstrip("/")
 
     if Stage.is_valid_filename(out):
         raise GetDVCFileError()
diff --git a/dvc/repo/imp.py b/dvc/repo/imp.py
index 68ead389b..270d4caa6 100644
--- a/dvc/repo/imp.py
+++ b/dvc/repo/imp.py
@@ -2,5 +2,6 @@ def imp(self, url, path, out=None, rev=None):
     erepo = {"url": url}
     if rev is not None:
         erepo["rev"] = rev
+        path = path.lstrip("/")
 
     return self.imp_url(path, out=out, erepo=erepo, locked=True)