F-box genes play an important role in the growth and development of plants, but there are few studies on its role in a plant’s response to abiotic stresses. In order to further study the functions of F-box genes in tomato (Solanum lycopersicum, Sl), a total of 139 F-box genes were identified in the whole genome of tomato using bioinformatics methods, and the basic information, transcript structure, conserved motif, cis-elements, chromosomal location, gene evolution, phylogenetic relationship, expression patterns and the expression under cold stress, drought stress, jasmonic acid (JA) treatment and salicylic acid (SA) treatment were analyzed. The results showed that SlFBX genes were distributed on 12 chromosomes of tomato and were prone to TD (tandem duplication) at the ends of chromosomes. WGD (whole genome duplication), TD, PD (proximal duplication) and TRD (transposed duplication) modes seem play an important role in the expansion and evolution of tomato SlFBX genes. The most recent divergence occurred 1.3042 million years ago, between SlFBX89 and SlFBX103. The cis-elements in SlFBX genes’ promoter regions were mainly responded to phytohormone and abiotic stress. Expression analysis based on transcriptome data and qRT-PCR (Real-time quantitative PCR) analysis of SlFBX genes showed that most SlFBX genes were differentially expressed under abiotic stress. SlFBX24 was significantly up-regulated at 12 h under cold stress. This study reported the SlFBX gene family of tomato for the first time, providing a theoretical basis for the detailed study of SlFBX genes in the future, especially the function of SlFBX genes under abiotic stress.