Compressor and counter cells are the basic blocks used to accumulate the partial products in a multiplication process. In this paper, novel high speed and low power carbon nanotube counter cells are suggested. The efficiency of circuits is improved by using carbon nanotube field-effect transistors (CNFETs). The proposed designs are 4-to-3, 5-to-3, 6-to-3, and 7-to-3 counters. Using HSPICE, these proposed designs are simulated at different conditions. Simulation results confirm that the proposed designs are the fastest counters with lowest PDP in different working circumstance.