Here are the top Governmnet colleges in Kerala given below:

Indian Institute of Space Science and Technology, Thiruvananthapuram

National Institute of Technology Calicut

Cochin University of Science and Technology, Kochi

College of Engineering, Trivandrum

You can check the complete list of the colleges with the given below link.

https://engineering.careers360.com/colleges/ranking/2018/top-engineering-colleges-in-kerala

Good Luck!