Speaking on the 60th anniversary of the establishment of diplomatic ties between India and China, Hu said that China is ready to strengthen friendship, deepen mutual trust and expand cooperation with India.
According to China's foreign ministry website, Hu and his Indian counterpart Pratibha Patil exchanged congratulatory messages on the occasion.
The China Daily quoted Patil as saying that the Sino-Indo bilateral ties have global and strategic significance, as the close cooperation between the two nations would impact peace and stability in Asia and the world at large.
Chinese Premier Wen Jiabao also exchanged greetings with his Indian counterpart Manmohan Singh on the occasion.
In his message, Wen said the world has enough room for China and India to develop together.
The neighbours should learn from and support each other to achieve win-win results and common development, Wen said.