"Deeply saddened to learn of the demise of Lt Gen (retd) Srinivas K Sinha, former Governor of J&K and Assam," Modi tweeted.
"Had the opportunity of meeting Lt Gen (retd) Srinivas K Sinha just a few days ago. His service to our nation will always be remembered," he said in another tweet.
Sinha passed away at a hospital here this morning after brief illness. He was 92.
Sinha had resigned from service after the government superseded him and appointed General A S Vaidya as the new army chief.