In this paper we present the efficient technique for compression and coding of memoryless Laplacian sources, which uses variable-length code (V LC). That technique is based on combination of two companding quantizers in the first case, and three companding quantizers in the second case. These quantizers have disjoint support regions, different number of representation levels and different compressor functions. The closed-form expressions are obtained for the distortion, average bit rate and signal to quantization noise ratio (SQN R). Presented numerical results point out the effects of rate-distortion (R-D) optimization on the system performances. Since our model assumes the general case of Laplacian distribution, it has a wide applications like coding of speech and images. It is shown that the difference of SQN R of our model and classical