Calibrating the quantum efficiency of the single-photon detector by correlated photon pairs is quite important for improving the radiometric calibration precision of optical load. Using a continuous wave (355 nm) laser to pump BBO crystal to generate type-I spontaneous parametric down conversion, the quantum efficiency of the single-photon detector at 736 nm was measured for the collinear and nonlinear phase matching modes respectively. Results show that, the combined standard uncertainty of calibration result for the collinear and nonlinear modes is 0.71% and 0.39% respectively, the relative deviation is better than 0.4%. and the quantum efficiency of the single-photon detector can be calibrated for the two phase matching modes with an excellent consistence. At the last, the characteristics of the collinear and nonlinear modes was compared. The research provides the basis of choosing crystal phase matching mode for the calibration of remote sensor by correlated photon pairs in the future.