Aiming at the problem of the difficulty in solving the dynamics driving force of the parallel robot, a deep learning model is proposed to estimate the slider driving force of the 3-PRS parallel robot. The 3-PRS parallel robot is presented, and its dynamics model is established using the Newton-Euler method. The dynamics of the 3-PRS parallel robot is analysed by using the theory of the "black box model". The parameters of the designed 3-PRS parallel robot are used as input, and the driving force can be output directly through the deep learning algorithm. The regression convolutional neural network (CNN) algorithm based on deep learning is established to estimate the slider driving force. An overall framework is proposed according to the characteristics of the three sliders. The parameters of the parallel robot are collected, and the collected data are converted into a grayscale image to establish the data sets for driving force estimation. Two cases with friction and without friction are considered respectively in the experiment. The experimental results show that measuring the driving force using the regression CNN can improve calculation accuracy and efficiency, which lays a foundation for studying the dynamics of the parallel robot.