The present invention provides an anti-tumor or anti-angiogenesis medicament, the combination or kit containing the medicament, and the method for producing the same. The anti-tumor or anti-angiogenesis medicament contains a conjugate comprising a modifying agent and the angiostatin or its fragments, wherein the conjugate exhibits prolonged in vivo half-life as compared to an unmodified angiostatin or its fragments. The modifying agent is selected from the group consisting of macromolecular polymers, protein molecules or fragments thereof, peptides, small molecules, or chemical substances of any other forms.