The consultancy will survey landowners, developers, councils and the public to gauge views for a strategic housing land study, due to be completed by February.
The company is charged with identifying land that could meet all the necessary conditions to be suitable for housing development.
There is no official figure for the number of homes that are needed, but recent surveys indicate that 275 homes are required across Keswick, Coniston and Grasmere. Other surveys will be carried out throughout the area to establish the overall level of housing need.
Landowners and developers can put forward sites for allocation but they must be closely related to settlements and able to accommodate at least three homes.
Arup project manager Colin Robinson said: "This study will assess the sustainability of a number of potential sites and enable the delivery of sufficient housing while taking into account the environmental considerations of the park."