Primal Scream will head the support on June 29, with Liam Gallagher's Beady Eye taking on the role on June 30 and Plan B on July 1.
The Wailers, Bob Marley's backing group, will be playing at each of the shows, with other supporting acts including The Vaccines and Professor Green.
The Stone Roses have described the bill as a "mix of the legendary and the new".
Tickets for all three dates sold out in a total of 50 minutes.
The band have also signed UK and US record deals for new material.
View the full supporting lineup for the Heaton Park shows below:
The Justice Tonight Band (feat. Mick Jones, Pete Wylie and The Farm)
Watch the video for The Stone Roses' 'She Bangs the Drums' below: