Altogether, the agency said, more than 400,000 products are affected by the order.
The third-party sellers participate in the Fulfilled by Amazon program, according to the CPSC.
Last year, Amazondebuted a recall and safety alerts pageon its site.
Three years ago, the CPSCsued Amazon, alleging its unwillingness toremove unsafe third-party products sold through its site.
The commission and a judge on the case determined otherwise.
The agency will review those plans and issue a subsequent order.
It did not provide a timetable.