An unmanned aerial vehicle (UAV) recovery system comprises a base and a pneumatic capture net, including a set of upwardly extending, flexible, inflatable tubes, supported by a capture net support assembly. Drag forces are exerted on a UAV by the set of tubes when the UAV flies into them. In some examples the recovery system includes a plurality of decelerators, each decelerator having a supply of a restraint strap, connected to the pneumatic net, which can be pulled from the decelerator upon the application of a sufficient force so that movement of the pneumatic net is resistible by forces exertable by the decelerators on the pneumatic net.