A grinding clamp for a lamp cooling fin comprises a clamp body and a to-be-machined product. A power air cylinder, a connecting rod assembly and a positioning assembly are arranged on the clamp body.The power air cylinder and the connecting rod assembly are in driving connection. The connecting rod assembly is movably arranged on the clamp body through driving of the power air cylinder, and is matched with the positioning assembly during moving so that the to-be-machined product can be clamped or loosened. Through the above structure improvement, a movable piece is driven to swing into an empty part firstly, accordingly, the periphery size of the work position is smaller than that of the to-be-machined product, then, a suction cup is used for sucking the to-be-machined product, then, themovable piece is driven to swing to the empty part, the periphery of the work position is equivalent to the periphery size of the to-be-machined product, and accordingly, clamping and positioning of the to-be-machined product can be achieved. The grinding clamp has the beneficial effects that the structure is simple and reasonable, performance is excellent, operation is convenient, the manufacturing cost is low, production and achieving are easy, full automation and intelligence are achieved, the production efficiency is high, and safety and reliability are achieved; and practicability is high.