We propose knockout ATM switches with two speedup factors under non-uniform traffic with variable hot-spot ports in order to handle flexibly when the number and port of hot-spot change. The proposed models have a function that the maximum cell transmission number called a speedup factor L2 is set to be large when the arrival cells are more than L1. By using this function, it is useful to decrease the cell loss probability of hot-spot ports. First, we propose a knockout ATM switch with two speedup factor in order to reduce the number of accesses from a concentrator to a parallel buffer as a proposed model 1. Moreover, we propose a shared knockout ATM switch in order to decrease the switch elements as a proposed model 2. We evaluate the cell loss probability by means of computer simulations and numerical calculations. As a result, we show that the proposed model 2 satisfy the reqirement of the cell loss probability due to contention at outoput of a batcher network with decreasing the hardware.