The GSAT-19 communication satellite is the heaviest satellite to be launched from India.
ISRO kick-started the 25-and-half hour countdown for the launch on Sunday at 3:58 PM.
On Monday, the GSLV-Mk III-D1- in its first developmental flight - successfully put the 3,136 kg GSAT-19 satellite into a Geosynchronous Transfer Orbit 16 minutes after blast-off.
The GSLV - MKIII D1/GSAT-19 mission takes India closer to the next generation launch vehicle and satellite capability.
The new rocket will be able to transport heavier satellites that India had previously relied on France's space agency to carry.
In a way, the launch breaks a major jinx for ISRO, which has over the past three decades, faltered several timesin its first tests, including the GSLV version as well as the Polar Satellite Launch Vehicle (PSLV).
In a series of tweets, he said, "Heartiest congratulations to ISRO on the historic launch of GSLV-Mk III".
The vehicle is capable of carrying 2,500 kg to geostationary orbit, and 5,000 kg to low-Earth orbit.
London attacks: Mayor Sadiq Khan dismisses Trump criticism
Mr Khan had also said: "One of the things the police and all of us need to do is ensure that we're as safe as we possibly can be". Trump's first foreign trip - Israel, Saudi Arabia, the Vatican, Belgium and Sicily - and touts his anti-terrorism efforts.
With a lift-off weigh of 640 tons, GSLV MkIII vehicle, which is powered by two solid motor strap-ons (S200), a liquid propellant core stage (L110) and cryogenic stage (C25), has been designed for carrying heavier four tons class satellites.
The cryogenic stage performed to perfection. It also carries a Geostationary Radiation Spectrometer (GRASP) payload to monitor and study the nature of charged particles and the influence of space radiation on satellites and their electronic components, according to ISRO.
The GSLV Mark-III rocket will also feature advanced spacecraft technologies including bus subsystem experiments in electrical propulsion system, indigenous Li-ion battery and indigenous bus bars for power distribution, among others.
In a congratulatory message to ISRO Chairman A.S. Kiran Kumar, who hails from Karnataka, Siddaramaiah said he was proud of the space agency, which is headquartered here and has many of its facilities for making satellites, telemetry and command control centre at Bylallu on the city's outksirts and the Master Control Facility at the state's Hassan.
"GSLV Mark-III is our next launch".
"The whole process of assembling the various stages and then integrating the satellite into the heat shield, these activities are going on". Three first launches - in 1979, 1993 and 2001 - had failed.
Space agency director AS Kiran Kumar said it is the heaviest rocket and satellite to be launched from India.
For ISRO's human spaceflight programme, critical technologies like crew escape system, crew module and life support systems are to be developed.