The US State Department expressed outrage after a Russian anti-satellite missile test generated debris which put the ISS at risk.
The astronaut team arriving on Thursday was officially designated "Crew 3" - the third full-fledged "operational" crew that NASA and SpaceX have flown together to the space station.
Flight teams managed to restore the station's orientation by activating thrusters on another module.
Most of the experiments are not for space-related technologies, but will test conditions in space that may lead to technological, scientific, and medical breakthroughs.
The Endeavour capsule, also making its second flight, was launched into space on Friday atop a SpaceX Falcon 9 rocket from NASA's Kennedy Space Center in Florida.
The helmeted astronauts, dressed in their custom white flight suits and black boots, walked out of the space center's operations building a little over three hours prior to launch time, waving to onlookers and bidding goodbye to loved ones.
The nanosatellite, the first ever to be wholly designed, developed, assembled, and tested at an Israeli university, will measure cosmic radiation around the earth.
The crew will live aboard the US segment of the ISS for about eight days and participate in research and philanthropic projects.
Astronaut Eytan Stibbe will fly to the International Space Station in 2021.