This paper constructs a new media for college students’ ideological and political education cloud platform based on the Internet background to enrich the ideological and political education content of college students. Firstly, the online teaching system is realized through the semi-structured database HBASE module and relational database MySQL module to use; secondly, the BP algorithm is used to inform the management data of college students, and the serial mode and batch mode in the BP algorithm is used to improve the data mining efficiency, and finally, the system is tested for data. The results show that the cloud platform education system constructed in this paper can reach the highest score of 6.4 for teachers’ teaching orientation, teaching programs, and students’ recognition, with 82.4%. And the average scores of the students in the experimental group in the professional course and the Civic Science test are 10% and 20% higher than those in the control class, respectively, and the average score can reach 45.9 on the dynamics of teaching behavior. Thus, it can be seen that the cloud platform constructed in this paper helps to promote the high-quality development of the teaching of Civics for college students and effectively improve the teaching effectiveness of Civics.