The reopening will start with the terminal being used for arriving passengers travelling with Aurigny, British Airways, Eastern Airways, Iberia Express, Loganair, Ryanair and Vueling.
Check-in for these airlines will continue to be from Terminal One, but arrivals will be into Terminal Three.
The airport said: “While the two terminals are directly next to each other, passengers are advised to consider these changes when making drop-off, pick-up and parking arrangements.”
Flybe will also use Terminal Three once the airline resumes services from Manchester later in the year.
Passengers flying on or after 27 March with British Airways, Iberia Express, Ryanair and Vueling will be asked to use shops, restaurants and boarding gates within Terminal Three and will be directed to these areas once they have passed through Terminal One security.
Passengers with these airlines who have bookings for the Terminal One Escape Lounge have been contacted to advise them of the changes and invited to cancel and rebook from Terminal Three with a discount code.
Passengers with Aurigny, Eastern Airlines and Loganair will continue to use Terminal One facilities for outbound journeys, and will only use Terminal Three when arriving into Manchester.
The airport is set to reopen its second runway from 5 April, initially for a limited number of hours each day.
The remainder of Terminal Three, including the check-in hall and security, will be reopened “at a later stage”.
Manchester airport managing director Karen Smart said: “After almost two years of closure, it is a positive step forward on the road to recovery to be able to partially reopen Terminal Three and resume operating from both runways.”