Abstract: A ball game apparatus comprising a ball-holding device having a ball-receiving cavity, this cavity being open at the bottom and having a sidewall for engaging the ball on one or more sides. There is a flexible, resilient arm connected to the device and located on one side of the cavity opposite a portion of the sidewall. The arm is engagable with a side of the ball when the latter is in the cavity in order to hold the ball therein. Preferably the device includes a strap or arm for connecting the device to a user's hand so that the device is held against the palm of the hand.