We are using Behave BDD tool for automating API's. Is there any tool which give code coverage using our behave cases?
We tried using coverage module, it didn't work with Behave.
You can run any module with coverage to see the code usage.
In your case should be close to coverage run --source='.' -m behave
Tracking code coverage for Aceptace/Integration/Behaviour test will give a high coverage number easily but can lead to the idea that the code are properly tested. 
Those are for see things working together, not to track how much code are well 'covered'.
Tying together unittests and coverages makes more sense to me.
Test coverage tool for Behave test framework