The imaging blur caused by the relative motion between an imaging system and an imaging target can be eliminated by a compensation operation based on the motion law, although it is invalid when the movement is random. In this paper, the influence of the random jitter on imaging resolution is investigated quantitatively in a computational ghost imaging system, and the maximum of random-jitter amplitude that the system can allow is analyzed. The numerical and experimental results verify our conclusion, and the error between the experiment and simulation is less than 12%. The main reason for the error is the disturbance of experimental noise. By using ghost imaging algorithms to reduce the corresponding impact, this error can be further reduced to 6%.