The project aims to accelerate the regeneration of the surrounding area of dense Victorian terrace housing.
Work of the surrounding housing is being planned and designed by architect shedkm and developed by Urban Splash.
Kathryn Moore, president of the Landscape Institute, said she was pleased to be involved with the project.
'I am delighted that the Landscape Institute is running this important competition, which will focus on design quality to deliver an exciting, challenging sustainable public space in an area that has suffered from under investment for too many years,' she said.
'Indeed, the regeneration of this park is very close to my heart, since I lived and worked in Salford for many years,' she added.
Competition details are available by emailing email@example.com.