"We appreciate the friendship you have articulated towards India during your campaign, Modi tweeted.
In another tweet, Modi said "We look forward to working with you closely to take India-US bilateral ties to a new height."
To woo Indian- Americans, Donald Trump had borrowed from PM Modi's winning slogan of the 2014 general elections as the Republican presidential nominee was seen in a TV ad saying "Ab Ki Baar Trump Sarkaar".
This is the first time that a US presidential candidate has specifically targeted the Indian-American vote bank.
The advertisement showed the 70-year-old reality TV star adapting BJP's catchy election slogan of the 2014 polls "Ab Ki baar, Modi Sarkaar".
Indian-Americans are traditionally supporters of the Democratic Party and Trump's move was seen as an effort to make a dent in this vote bank.
The billionaire is seen in the 30-second video saying, "Ab Ki Baar Trump Sarkaar".
(With PTI inputs)