Sindhu defeated world champion Nozomi Okuhara of Japan in a thrilling summit clash to clinch the women's singles title 22-20 11-21 20-18 in an energy-sapping contest that lasted an hour and 23 minutes.
Sports Minister Rajyavardhan Singh Rathore also tweeted, saying: "What a brilliant game by @PVSindhu1! Congrats on winning #KoreaSS! India is proud of you! May the victories never stop coming!"
With this victory, the 22-year-old shuttler has avenged her World Championships final defeat to the same opponent and Tendulkar termed her win as a "victory like none other".
"You tried, you failed, you believed and in the end you are an inspiration for the nation! A victory like none other," Tendulkar tweeted.
Former India batsman Virender Sehwag called Sindhu a "legend" after she clinched her third Superseries title.
"At 22 Pusarla Venkata Sindhu is a legend. What a player! Congratulations on this stunning finals win. Most breathtaking badminton @Pvsindhu1," Sehwag tweeted.
Another former India cricketer VVS Laxman said that Sindhu and Okuhara's rivalry was turning out to be one of the greatest of all time.
"#SindhuVsOkuhara is turning out to be 1 of the great sporting rivalries. Many congrats to @Pvsindhu1 for an exceptional victory in the finals."
Star boxer Vijender Singh also congratulated Sindhu, saying the entire country is proud of her achievement.
"She Believed She Could, So She Did. Congrats @Pvsindhu1 First Indian To Win. India Is Proud of You," Vijender said.
(This story has not been edited by Business Standard staff and is auto-generated from a syndicated feed.)