Exercise assemblies having apparatus that retain the feet of a user during an exercise are disclosed. In one embodiment, an exercise assembly includes a load, and a support assembly operatively positioned relative to the load and including a base assembly. A force-transferring assembly is operatively coupled between the load and an exercise station such that a training force applied to the exercise station induces an associated force on the load. A foot-retaining assembly is operatively coupled to the support assembly and includes at least one foot-retaining device defining a foot-retaining space configured to receive at least a portion of a foot of the user. The foot-retaining device prevents a vertical movement of the foot of the user during the exercise.