The approval comes despite the publication of a report advising that the developments would cause "substantial harm" to two Grade II listed giant sheds at the site, which were built for airships in the 1930s.
When deciding to approve the plans the planning committee said that the developer's contribution to the preservation of the sheds was a significant factor enabling permission for the plans to be granted.
"Overall, it can be concluded that the procurement of the proposed new houses and the shed refurbishment works amounts to a substantial public benefit which, on balance, outweighs the substantial harm caused by the enabling development to the setting of the sheds and to development plan policy," the committed said.