A roping practice apparatus for realistically simulating motion of the head of an animal to train a roper in roping skill. The roping practice apparatus includes: a steering unit drivable and rotatable by a power source a transmission section rotatable in response to the rotation of the steering unit, the transmission section having a first end mounted on the steering unit and a second end a universal actuator to which the second end of the transmission section is pivotally connected and a driven section mounted on the universal actuator and rotatable in response to the rotation of the transmission section. A head model is connected with the driven section and drivable by the driven section to swing back and forth and left and right within a range of 360°.