Roundhay Park visitor centre is to get a new library following a £7,500 donation by the family to the Friends of Roundhay Park.
Bernard Lester was a prominent supporter of the park.
A library will be created in the education rooms of the visitor centre.
Some 200 books based on parks, wildlife and nature have been chosen to form the initial element of the library, which is due to open in February.
Friends of Roundhay Park secretary David Binns said:
"We hope that having investigated many options for this memorial we have chosen something that will not only connect with Bernard Lester the educationalist, but will develop in the years to come as a useful resource for Roundhay Park."