Although zinc pyrithione is known as an excellent antidandruff component, there is a demand for an effort to reduce the blending amount without lowering the effects from the viewpoint of environmental pollution. Also, there is a demand for developing a technique that enables combining zinc pyrithione with cuprous oxide to be used as an antifouling component for a ship-bottom paint. Moreover, also as an antiseptic and anti-mold component for polymer materials, further enhancement of the antimicrobial activity of zinc pyrithione has been demanded.It has been elucidated that a new composite of the present invention obtained by treating an aqueous suspension or an aqueous paste containing zinc pyrithione or a zinc pyrithione/zinc oxide complex compound and ultrafine zinc oxide having an average particle diameter of 0.01 to 0.15 µm at pH 8 to 12 exerts an excellent physiologic/antibiotic activity such as an anti-dandruff and hair restoration effect and an underwater antifouling, antiseptic and anti-mold effect. Thus, the above-described problems have been solved.