In this paper, a new technique for obtaining the pseudo-exponential function is presented. Then, a new pseudo-exponential function employing the new technique is described and a new CMOS exponential-control variable gain amplifier (VGA) based on the new function is introduced. No multiplier is needed in the proposed approach. The VGA operates in current mode and includes two different stages. The first stage is a simple current amplifier while the second stage is an attenuator which has the pseudo-exponential control employing the new technique. The overall behavior of the stages gives the new pseudo-exponential function. The VGA circuit has been designed and simulated for a 0.35 CMOS process. The circuit has a bandwidth of 300MHz and a gain range of 32dB between -16dB and +16dB.