A tight-fit riveting structure for a clustered radiation fin set and a heat pipe and a riveting method include a radiation fin set formed by locking a plurality of radiation fins together and at least one heat pipe. The radiation fin set has an accommodation slot for accommodating the heat pipe. The heat pipe is positioned in the accommodation slot for a tight fit by subjecting two sides of the accommodation slot of the radiation fin set to a riveting operation. First riveting and deforming portions defined on two sides of a communication mouth of the accommodation slot are riveted towards a surface of the heat pipe, which causes the deformation of the first riveting and deforming portions whereby the heat pipe is clamped in a tight fit manner.