Bailey will take personal charge of national newspapers. The move coincides with circulation declines for both the Daily Mirror and The People during March.
Haysom, 49, had joined the Trinity Mirror board in 1998 and took the role of running national newspapers the following year. He previously worked on Trinity Mirror's regional newspaper business.
The departure of Haysom follows that of Joe Sinyor, the chief executive for national newspapers, in January. Sinyor had been overlooked for the group chief executive role in favour of Bailey.
Last year, Trinity Mirror's national newspaper management devised the strategy of instigating a price war against the Daily Mirror's main tabloid rival, The Sun. Despite dropping the Daily Mirror's cover price, a move that cost the group around £20 million, it failed to boost circulation.
Also leaving Trinity Mirror is Richard Wyatt, the director of corporate development, who steps down at the end of April. The departures of Haysom and Wyatt coincide with the appointment of Vijay Vaghela as the group finance director. He succeeds Margaret Ewing, who left the company last June.
Bailey said: "I would like to thank Mark and Richard for their contribution to the company and wish them both well for the future. I'm looking forward to working more closely with our nationals' team to help realise the full potential of our leading brands."
Last week Bailey gave Piers Morgan, the Daily Mirror's editor, a vote of confidence. She said his job was not under threat despite the title's circulation downturn. He presided over its redesign last year.