Spread epoxy glue or rubber cement over the hole or rip in the air mattress and allow it to dry completely. The time required to cure depends on the type of adhesive.
Cut a strip of duct tape long enough to cover the puncture completely and press it firmly onto the air mattress.
Work out any air bubbles with your fingertips so the tape is flat against the mattress.
Apply additional layers of tape at 45-degree angles across the first piece to secure the duct-tape patch.
Inflate the mattress to check for air leaks around the repair.