Provided are an apparatus for estimating an increment in the number of packets arriving at a transmission queue of each terminal and allocating resources to terminals based on the increment in a Demand Assignment Multiple Access (DAMA) satellite communication system, and a method thereof. The method, includes the steps of: a) comparing a summation of requested time slot quantities of terminals with a total number of available time slots; and b) allocating the time slots as much as the requested time slot quantity to each terminal and allocating remaining time slots additionally in proportion to an estimated increase in the number of packets arriving at a transmission queue of each terminal. The apparatus can raise efficiency of resources allocation in DAMA communications and reduce the packet transmission time in a terminal transmission queue.