"Well done @isro. This is one more grand accomplishment for Indian science & our scientists," Modi said in a post on the micro-blogging website Twitter.
Gujarat Chief Minister Anandiben Patel was one of the earliest to congratulate ISRO.
"With the successful launch of ASTROSAT, India joins a league of elite nations having space observatory. Hearty congrats to@ISRO, you make us proud!", she tweeted.
Andhra Pradesh Chief Minister N Chandrababu Naidu said, "Delighted at @isro's remarkable feat of launching PSLV-C30 carrying #Astrosat, India's 1st space observatory. Congratulations@isro."
Union Minister of Science and Technology and Earth Sciences Harsh Vardhan tweeted, "Congratulations to the entire nation for the successful launch of India's first astronomy satellite ASTROSAT.#ISRO".
India today successfully launched ASTROSAT, its maiden dedicated space observatory aimed at undertaking a detailed understanding of the universe, and six foreign satellites, including four from the US, onboard PSLV-C30 from the spaceport here.