The invention discloses a relay lifting oil extraction design method utilizing well gas. According to the method, an oil well flowing-in trend and shaft lifting coupling model is set up; a coupling connecting condition and a constraint condition are determined; the actual output and the system efficiency under the specific lifting manner are calculated, and optimal selection of schemes is carried out according to the target function. The method fully considers the mutual influence among the stratum, the shaft, an electric pump, gas lifting equipment and a ground control device, energy of the well gas can be utilized scientifically, and intelligent oil extraction with high output and low energy consumption is achieved.