A fan apparatus includes a housing with front and rear parts and two swivel joints, a driving motor disposed in the housing, inner and outer annular members, a transmission member, and an anchoring member. The motor has a rear portion provided with a worm section extending toward the rear part. The inner annular member is sleeved on the front part and is connected to the joints so as to swivel relative to the latter. The outer annular member is sleeved retainingly on the inner annular member and is angularly adjustable relative to the same. A swing rod has a first proximate end relative to the worm section and mounted pivotally on the rear part, and a first distal end which extends toward the front part. The transmission member is disposed in the rear part to transmit an axial rotation of the worm section to swing the first distal end of the swing rod relative to the first proximate end in a plane parallel to the worm section. The anchoring member has a second proximate end mounted pivotally on the inner annular member and a second distal end fixedly anchored on the first distal end of the swing rod to arrest movement of the second distal end, thereby driving the first proximate end as well as the rear part to swing around the swivel joints.