A fastener operating structure includes a holding base and a fastening-connecting unit. The holding base is disposed at a first object. The fastening-connecting unit is movably disposed at the holding base. The fastening-connecting unit is fastened to a second object. Consequently, the holding base is disposed at the first object, and the fastening-connecting unit is coupled to or removed from the second object, so as to couple together and separate the first and second objects repeatedly and quickly.