To provide a propeller fan capable of increasing marketability by preventing noise caused by swirl and increasing performance by suppressing the loss of aerodynamic force and an air conditioner using the propeller fan.

This propeller fan 1 sends out a fluid from an upstream side to a downstream side by rotating a hub 3 to which at least one vane 4 is fitted in a prescribed direction. The outer peripheral part of the vane 4 comprises a curved part 10 curved so that at least a part near its trailing side faces a negative pressure side. The trailing line 8 of the vane 4 is formed in such a curve that advances in the rotating direction while drawing a gentle curve from the inner peripheral end to the outer peripheral side of the vane 4 when projected on a plane perpendicular to the rotating axis O of the hub 3 and retreats in the rotating direction so as to have an inflection point 12 on the slightly root side of the outer peripheral end 13 of the vane 4.