Yes, there are alligators on Cross Lake. There are alligators in nearly all large bodies of water in North Louisiana. However, interactions with humans are pretty rare. If you live directly on the water and have small pets that roam the shores there is always a possibility of issues, albeit a small one. Nothing that a fence cannot solve though. You should love Shreveport Louisiana. There are many lakes, rivers, etc in the area to enjoy.
It is against the law to hunt / fish alligators on Cross Lake without a tag. This alligator was taken from Hideaway Harbor neighborhood private lake which connects to Cross Lake in 2009. The alligator was taken with a tag.