The firm was one of 19 applicants for the job, which will look at the design and feasibility of turning disused coal sidings next to the railway line in South London into a public park. The 900m-long park will run through the centre of Peckham, connecting Queens Rd and Rye Lane.
It will work with a team including Arup and Jonathan Cook Landscape Architects (JCLA) on the project.
In its pitch the company said it is "experienced at transforming unpromising places into spaces that people want to use". Previous projects have included public realm regeneration in Harrow and the Olympic Greenway, which connects Queen Elizabeth Olympic Park to the wider East London area.