[Purpose/significance] In view of the incomplete consideration of the influencing factors of journals in current evaluation methods, a comprehensive evaluation method of journal is proposed, which combines the cited frequency, the cited time heterogeneity and the balance of cited distribution. [Method/process] Firstly, weighted articles are cited frequency based on the cited time heterogeneity of journals; secondly, the improved Theil index is used to measure the balance of cited distribution; finally, using the method of entropy weight and grey relational analysis, the paper combines the heterogeneity of citation time and the balance of citation frequency to construct the comprehensive evaluation index of journals, Relevance Index (RI).[Results/conclusion] Through the empirical analysis of 40 journals in the field of Library and Information in foreign countries, the results show that compared with JIF and h index, RI index can take into account the heterogeneity of citation time of journals, has stronger timeliness and more reasonable weight distribution; RI index can balance the distribution of citations, identify journals with high average influence, and the evaluation results are more objective and comprehensive.