Abstract: A process for erecting a inflatable building structure which is especially adapted for housing plants. The process includes the steps of(1) installing a plurality of support posts in the ground or other suitable base;(2) attaching a roof structure formed from one or more inflatable membranes to the plurality of support posts; and(3) inflating the inflatable membrane.Preferably the inflatable membrane has peripheral rigid support members which are each attached to a row of associated posts. The roof structure formed from the inflatable membrane(s) together with rigid support members may be initially laid on the ground before being elevated.There also may be provided an upper securing cable extending across the top of the or each inflatable membrane which may initially be in the slack condition but which is subsequently tensioned before inflation.