The invention discloses naphthyl urea-piperazine compounds and a preparation method and application thereof.The naphthyl urea-piperazine compounds can remarkably inhibit activation of cell signal transduction JAKs/STATs signals under the low dosage, and the experimental results of a cell proliferation experiment, an immunoblotting experiment, a cell cycle experiment, a protein transfer membrane transport experiment, a cell invasion and migration experiment and the like show that the naphthyl urea-piperazine compounds have the advantages that the naphthyl urea-piperazine compounds can be used for remarkably inhibiting activation of cell signal transduction JAKs/STATs signals; the compound can specifically inhibit JAK2 signal activation and expression of downstream STAT3, CyclinD1, CyclinB1, MMP9 and other target genes, induce blocking of a cell cycle G1 phase and cell apoptosis, can significantly inhibit proliferation of breast cancer, liver cancer, lung cancer, colon cancer, leukemia, lymphoma, multiple myeloma, retinoblastoma and other tumor cell strains, and can be used for preparing drugs for treating breast cancer, liver cancer, lung cancer, colon cancer, leukemia, lymphoma, multiple myeloma, retinoblastoma and the like. Therefore, the compound has a prospect of being developed into a targeted anti-cancer drug of a related target spot of a JAKs/STATs cell regulation signal transduction pathway.