The invention is a method of binding compound materials of the C/SiC and C/C, which belongs to the technology field of binding heterogeneous materials. The processing procedures are as following: 1. The surface of the e compound materials of the C/SiC and C/Cis pretreated, which comprise the surface of the connecting are grinding, cleaning, vacuum biscuit firing, preparation of double-layer metal film and microvacum heat treatment and so on. 2. The transition layer of the connecting area surface gradient of the compound materials of the C/SiC is coated and sintered. 3. The compound materials with the gradient transition layer as the felted phase is brazed with the metal in vacuum. The invention is characterized in that the gradient transition layer is directly used as the materials that bind the compound materials with the metal; the gradient transition layer is double-layered or multilayered (sub-layered) structure; from the inner basal body to the outer part of the compound materials, the melting points of active brazing alloy adopted by each sub-layer gradually lower, the coefficient of heat expansion that adjust volume percentage composition gradually lower and the coefficient of heat expansion of the sub-layers gradually rise. The brazing ceramic metal connecting piece of the invention has good strength, air tightness and wide application field, which is suitable for various non-metallic fibers, such as ceramics of SiC, Si3N4, Al2O3, AlN and so on and applicable for connecting the ceramic matrix compound materials with particulate reinforced with the metal.