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Based on the presented hybrid simulation testing method for the reduced scale model, the numerical simulation of the measurement error, which is simulated by the random number of the normal distribution, on both the shear model and the bending-shear model have been finished by using the multi-language programming technology with MATLAB and OpenSEES. The measurement error used in the numerical simulation analysis, which meets the code of JGJ/T 101-2015 'Specification of testing methods for earthquake resistant building', is obtained from the normal distribution random number by using the Matlab. The numerical simulation results demonstrate that the errors from the 1/2 and 1/4 reduced scale model are basically equivalent with the ones from the full-scale model in both the relative error of the peak point and the accumulated error. With the reduced-scale more than 1/4, the accumulated errors increase with the increase of the peak ground acceleration. Meanwhile, the accumulated errors decrease with the increase of beam column linear stiffness ratio under the same peak ground acceleration. The hybrid simulation test of the 1/2 reduced-scale steel frame structure was completed in the laboratory, and the accuracy and feasibility of the hybrid simulation testing method are verified by the test results. [ABSTRACT FROM AUTHOR]