The invention discloses a 2-aminothiazole-amide derivative, its preparation method and application. The structural formula of the compound is shown as formula I, wherein R1 is H, or one or more of the following mono-substituted or multi-substituted groups on a benzene ring: fluorine, chlorine, bromine, methyl, methoxyl, hydroxyl, nitro, amino, trifluoromethyl and cyano; R2 is -CH2-, -CO-, -NHCO- or -S02-; R3 is C or N; R4 is C, N, O or S; R5 is C or N; R6 is hydrogen, fluorine, chlorine, bromine, methyl, methoxyl, hydroxyl, mercapto, amino, methylamino, ethylamino, morpholine, piperazine, methyl piperazine, ethyl piperazine, benzyl piperazine, p-methoxyl benzyl piperazine or p-chlorobenzyl piperazine; R7 is -H, -F, -Cl, -Br, -COOCH3, -COOCH2CH3, -CONH2, -CONHCH3 or -CONHCH2CH3; and n is 0 or 1 or 2. The compound provided in the invention has very good anti-tumor activity, and has important practical value and application prospects in the antitumor medicine preparation field. (Formula I).