The outbreak of novel coronavirus pneumonia has prevented the college students from returning to school after the winter vacation. The Ministry of Education issued the guidance of online courses. In view of the problems such as the difficulty of online teaching, the low participation of students and the poor learning effect of experimental courses in colleges and universities, the innovative teaching method of experimental courses in colleges and universities based on the cloud platform of numerical calculation is proposed. Through the practice of courses teaching during the epidemic period, the effect of the teaching mode is remarkable. This method solves the boring problems of engineering experimental courses during the epidemic period effectively, and improves students' interest and learning efficiency. Through the actual operation of the cloud computing platform and numerical calculation software, it improves students' ability to understand and solve engineering practical problems. In addition, based on the summary of engineering practical problems, it improves students' scientific research quality for their subjects’ research. The research results in this paper can provide references for the teaching of engineering experimental courses in colleges and universities under the background of epidemic period.