Last month Russian Federation said the October launch had failed because of a sensor that was damaged during assembly at the Baikonur cosmodrome but insisted the spacecraft remained reliable.
Kononenko and Sergey Prokopyev, who is now onboard the space station, are also scheduled for a spacewalk to examine the Soyuz MS-09 spacecraft from the outside.
They will start from the same launchpad that Yuri Gagarin did when he became the first man in space in 1961.
The launch, which took place from Baikonur Cosmodrome in Kazakhstan as the sun was setting, was the first crewed launch since an anomaly during booster separation sent two astronauts falling back to Earth in an emergency landing on October 11.
The trio aboard the rocket will be on the International Space Station for six and a half months before heading back to Earth.
Aboard the International Space Station, he will conduct a number of science experiments, with some focusing on the physical effects of the weak gravity astronauts experience in orbit as well as how to provide remote medical care.
"We are psychologically and technically prepared for blastoff and any situation which, God forbid, may occur on board", said Kononenko, the 54-year-old crew commander, according to Radio Free Europe.
Roscosmos, the Russian space agency, is now the only organisation transporting astronauts to the ISS after Nasa ended its space shuttle flights in 2011.
Canada's governor general and former astronaut Julie Payette is expected to be among the dignitaries to watch Monday's launch.
NASA astronaut Nick Hague and Russian cosmonaut Alexey Ovchinin ejected the capsule from the rocket when the spacecraft was about 50 kilometers - 31 miles - above Earth.
RFE also quoted McClain, 39, saying: "We feel very ready for it".
Saint-Jacques has spent years training for the six-month mission, which was originally scheduled for December 20 but was moved up after the aborted Soyuz launch.
October's accident had highlighted the "smart design of the Soyuz and the incredible work that the search and rescue people here on the ground are ready to do every launch", he said.
A Russian investigation attributed the failure to a sensor that was damaged during the rocket's final assembly.