The White House did not immediately respond to a request for comment on the report.
Aeronautics giant Boeing now operates the station - which weighs roughly 460 tons - on behalf of NASA.
The White House will seek market analyses and development plans from the private sector to ensure a smooth transition.
Yes, the USA president wants to privatise the ISS, and will request $US150 ($192) million in a Monday budget proposal "to enable the development and maturation of commercial entities and capabilities which will ensure that commercial successors to the ISS - potentially including elements of the ISS - are operational when they are needed", the paper wrote.
A report on the tech website The Verge said a draft of the budget proposal anticipated ending funding for the space station after 2024, which the Post report followed up with news that the administration was looking to keep the ISS operational, but not on its dime or under its authority.
Approximately $100 billion in taxpayer cash has been used to build and operate the orbiting piece of real estate. Ted Cruz (R-TX) recently trashed reports of NASA deciding to stop funding the ISS.
"As a fiscal conservative, you know one of the dumbest things you can to is cancel programs after billions in investment when there is still serious usable life ahead", Sen.
Roscosmos, the Russian space agency, said the launch was halted after an automated command, but said the reason for the command was under investigation.
The International Space Station argued one of the Post's sources, Andrew Rush, the chief executive of Made in Space, 'is built for science and human exploration, it's not built for profit seeking'. As the Guardian noted, since the retirement of the space shuttle in 2011 NASA has no means to get astronauts into space and now relies on Russian Soyuz rockets to get them to the ISS; private companies like SpaceX and Blue Origin won't launch manned missions to low Earth orbit until this September at the earliest. Under President Bush, NASA took the first steps to outsource cargo supply flights to the station to SpaceX and Orbital ATK.