Umami components are an important part of food condiments, and the use of umami peptides in the condiment industry has received great attention. However, traditional methods for umami peptide identification are time-consuming, labor-intensive, and difficult to achieve high throughput. Therefore, it is essential to develop an effective algorithm to identify potential umami peptides. In this study, we proposed a prediction method for umami peptides called Umami-MRNN. We constructed a merged model for the Multi-layer Perceptron and Recurrent Neural Network. We then developed predictors with six feature vectors as the input. We trained the neural networks using the training dataset and selected hyperparameters of machine learning models via a 10-fold cross-validation. The independent tests showed that Umami-MRNN achieved an accuracy of 90.5% and a Matthews correlation coefficient value of 0.811. To assist the scientific community, we also developed a publicly accessible web server at https://umami-mrnn.herokuapp.com/.