Railways Minister Piyush Goyal and Union Minister of State for Communication Manoj Sinha took part in a medical camp held here as part of Modi's birthday celebrations.
Deputy Chief Minister O Panneerselvam and DMK Working President M K Stalin also greeted the prime minister.
In his greetings to Modi, Governor Rao said, "Your dynamism, pragmatic approach, effective planning towards the welfare of the people and the nation have placed India on the global map."
"I pray to the Almighty to bless you with a long, happy and healthy life in your distinguished service to the people and to the nation," he said.
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Chief minister Palaniswami said, "On the joyous occasion of your birthday, I would like to convey my warm felicitations and wishes to you for a wonderful year ahead."
"I pray that the Almighty may grant you many more years of good health and strength to serve our nation and the people," he added.
Stalin also took to Twitter to greet Modi on behalf of the DMK and its president M Karunanidhi.
"Birthday greetings to the Prime Minister Thiru @narendramodi ji on behalf of Dr @kalaignar89, DMK and I. Wish you a long and healthy life," he said.
PM Modi's birthday was celebrated across the state by the BJP which organised a series of functions and distributed sweets. Cleanliness programmes were also held by the party as part of the celebrations.