Finding enough accurate matching points is key for image stitching. However, the existing state-of-the-art algorithms fail to find enough accurate matching points when facing the challenge where detectable features are not obvious. In this paper, a novel algorithm called CNN-MP is proposed to directly obtain Matching Points between two images using the feature maps extracted by Convolution Neural Network (CNN) and CNN-MP skips the step of detecting keypoints. The experimental results show that the number of accurate matching points obtained by the proposed CNN-MP is at least 1.7 times that of the state-of-the-art algorithms: ORB, SIFT, LIFT and SuperPoint when facing the challenge where detectable features are not obvious. Moreover, CNN-MP also achieves good performance when the input images own significant detectable features.