A gas separation composite membrane, containing a gas permeable supporting layer, and a gas separating layer containing a crosslinked polyimide resin above the gas permeable supporting layer, in which the crosslinked polyimide resin has a structure in which 2 to 4 molecules of a polyimide compound is coordinated with a divalent to tetravalent central metal via an oxygen atom or a sulfur atom, and when the crosslinked polyimide resin has plural central metals, the plural central metals are linked via the polyimide chain of the polyimide compound; and a gas separating module, a gas separation apparatus and a gas separation method utilizing this gas separation composite membrane.