A multiplier composed of a low voltage square-law CMOS cell is introduced in this paper. The analysis of the square-law cell is given. The multiplier operates in the saturation region with a fully balanced input signal. Initial simulations were done for 0.8 mu m n-well process using BSIM3 model parameters. The circuit has a trade-off between low voltage operation and low power dissipation. The circuit has a cutoff frequency of 99.4MHz and P-dis=1.5mW for a bias current of 120 mu A. The THD is less then -51dB and -49dB for fixed input voltages V3 and V1, respectively,for a 1MHz, 0.5V peak-to-peak sinusoidal input.