"Congratulate Indian Women's Hockey Team for winning Asia Cup, beating China, after 13 years," Naidu tweeted.
The prime minister said on Twitter, "India is delighted by their stellar performance."
In Kakamigahara in Japan, goalkeeper Savita produced a stunning save in a tense shootout as India won the Asia Cup to secure qualification in next year's hockey World Cup following a nerve-wracking win over China in the final.