A two-package type, air-drying, vibration -damping coating composition comprising a filler and two or more kinds of epoxy resin/epoxy resin curing agent combinations which give products different in glass transition temperature through curing. [EFFECT] Since the coating composition of the invention can be cured at ordinary temperature in a short time, a drying oven for baking can be dispensed withunlike in the prior art, which makes it possible to impart vibration-damping performance without restriction on the automobile coating line by drying and baking. Further, the coating composition attains high vibration-damping performance over a wide temperature range, particularly at high temperature, and can therefore exert excellent vibration-damping performance in various fields including automobiles and other machines, appliances and parts for high-temperature use.