To provide a cooling structure, a gas turbine combustor, and a method of manufacturing the cooling structure which can achieve high cooling efficiency without increasing a manufacturing cost.

A cooling structure includes a first member 3 as a cooling object having a first plane and a second member 4 arranged above the first plane and provided with a second plane opposite to the first plane so as to form a passage in which a cooling medium flows between the first plane and the second plane. The first member comprises a plurality of protrusions 15 extending upwardly from the first plane. Each of the plurality of protrusion extends so as to be inclined along a direction in which the cooling medium flows. A clearance between the second plane and a tip of the each protrusions set so that a heat transfer coefficient between the cooling medium and the second member becomes larger than a heat transfer coefficient when each projection extends upwardly in a vertical direction from the first plane.