For RTL verification, we have to separate the control and datapath parts contained in the whole design, and apply different verification techniques for different parts. This paper presents a new circuit extraction method using program slicing technique, and develops an elegant theoretical basis based on program slicing for circuit extraction from Verilog description. The technique can obtain a chaining slice for given signals of interest. Compared with related researches, the main advantages of our method include: it is fine grain; it has no HDL coding style limitation; it is precise and is capable of dealing with various Verilog constructions. The technique has been integrated with a commercial simulation environment and incorporated into a design process. The experimental results on practical designs show the significant benefits of the proposed approach.