Static pedalling fitness apparatus (1) that, with great accuracy, simulates the real excercise of pedalling on a conventional road biclycle while standing up and swinging the bicycle sideways. For this purpose, the fitness apparatus (1) comprises a fixed part (2) which is basically unmovable with respect to the floor, a movable part (3) which is capable of swinging laterally with respect to the fixed part (2) and which includes the set of pedals (4) and the seat (5), and another tilting part that is the handlebar (6) of the apparatus (1). The handlebar (6) is capable of oscillating separately from the oscillation of the movable part (3), i.e. the handlebar (6) presents a relative swinging movement with respect to the set of pedals (4) and the seat (5).