A multi-pulse sampling dual-comb ranging (MS-DCR) method is proposed in this paper. Four sampling pulses and two signal pulses separated in the time domain are generated in a repetition period by fiber delay. Through multi-pulse linear optical sampling, eight cross-correlation interferograms (IGMs) are generated in an updating period. The proposed method realizes the multiplication of IGMs so that additional ranging results can be obtained. The experimental results demonstrate that we suppress any random noise by averaging the ranging results and improve the precision of the time-of-flight (TOF) method and carrier-wave interferometric (CWI) method simultaneously. The precision of TOF is improved from 3.85 µm to 1.39 µm without time averaging and that of CWI is improved from 25 nm to 11 nm. The TOF result can link to the interferometric phase with 15 ms averaging, and a precision of 0.48 nm is reached with 0.5 s averaging. The proposed technique overcomes the limitations of linear optical sampling in conventional dual-comb interferometers and achieves faster and higher precision distance measurements without decreasing the unambiguity range.