The Daily Sport and Sunday Sport have ceased publication and will go into administration, their owner has said.
Sport Media Group, which was saved from going out of business by former owner David Sullivan in 2009, said it had ceased trading with immediate effect.
The announcement came after the group warned it had experienced "an insufficient recovery" since December.
The Daily Sport was launched by Mr Sullivan in 1991, following on from the Sunday Sport, first published in 1986.
The former editor of both papers, Tony Livesey, now presents a programme on BBC Five Live.
Sport Media Group said on its website that it had ceased trading because of its "inability to meet certain creditors as they fall due" and was the process of appointing administrators.
The group suspended trading in its shares on Friday morning "pending clarification of its financial position".
An "insufficient recovery" in trading had occurred since the adverse weather in December 2010, it said.