Medical image registration has great significance in clinical applications such as atlas creation and time-series image comparison. Currently， in contrast to traditional methods， deep learning-based registration achieves the requirements of clinical real-time； however， the accuracy of registration still needs to be improved. Based on this observation， this paper proposes a registration model named MAMReg-Net， which combines residual mixed attention and multi-resolution constraints to realize the non-rigid registration of brain magnetic resonance imaging （MRI）. By adding the residual mixed attention module， the model can obtain a large amount of local and non-local information simultaneously， and extract more effective internal structural features of the brain in the process of network training. Secondly， multi-resolution loss function is used to optimize the network to make the training more efficient and robust. The average dice score of the 12 anatomical structures in T1 brain MR images was 0.817， the average ASD score was 0.789， and the average registration time was 0.34 s. Experimental results demonstrate that the MAMReg-Net registration model can be better trained to learn the brain structure features to effectively improve the registration accuracy and meet clinical real-time requirements.