Both apartments are now "in contract" to an as-yet undisclosed buyer.
According to the real estate company Corcoran, the larger apartment is a "spectacular mansion in the sky ... custom designed and built from its inception for a discerning and sophisticated family".
It features 38 windows and doors, a mahogany staircase, a powder room, an "extraordinary and enormous eat-in kitchen" and a "museum quality living room".
When Jackson bought the penthouses, the New York Observer said it was one of Tribeca's most expensive apartment deals.
According to last year's NBR Rich List, Jackson is estimated to have a fortune worth $585million.
He owns a multimillion-dollar mansion near Masterton.
It is thought to contain a 100-seat cinema and studio, a private pub and a lake.
He also owns a private jet worth tens of millions of dollars.