In recent years, convolutional neural networks have been widely used, especially in the field of large scale image processing. This paper mainly introduces the application of two kinds of logistic regression classifier in the convolutional neural network. The first classifier is a logistic regression classifier, which is a classifier for two classification problems, but it can also be used for multi-classification problems. The second kind of classifier is a multi-classification logistic regression classifier, also known as softmax regression classifier. Two kinds of classifiers have achieved good results in MNIST handwritten digit recognition.