A 3-methoxy-flavone compound comprises 5,7-dihydroxy-8-(3,3-dimethyl diallyl)-3,3', 4'-trimethoxy flavone and 5, 7-2 dihydroxy-8- (3,3-dimethyl allyl)-3,4'-dimethoxy flavonoe. harmacological test results prove that: the 3-methoxy-flavone compound is an effective fatty acid synthase inhibitor, which shows the broad-spectrum anti-tumor effect in the cytotoxicity tests of various tumor cell lines and has strong tumor growth inhibiting effect on human prostate cancer cell LnCAP, human breast cancer cell ZR-75-1, human lung cancer cell NCI-H23 or human colon cancer cell HCT-116 when applied to human tumor transplant nude mice model tests. In addition, the 3-methoxy-flavone compound reveals no toxicity in mice acute toxicity tests, which then can be used as anti-tumor drug and is a new broad-spectrum anti-tumor drug with great development prospects.