Museum officer Aimee Fleming said:
"We run the aircraft engines through the season and rely on visitors arriving by car, so our carbon footprint is quite large. Yet the museum is on a site with rare wooded fenland habitat. We are trying to be fully sustainable and also offer visitors a more attractive environment."
Already around 15 corporate and individual sponsors have pledged the £30 cost of planting and maintaining each tree.
The first batch of around 200 trees will be planted next month, with the help of horticulture students from Craven College, Skipton.
A tree supplier has not yet been appointed.