The invention discloses a preparation method of SiC foam, a SiC foam monolithic catalyst for catalytic combustion of methane, and a preparation method thereof. The SiC foam is prepared by following steps: placing vitreous state carbon foams in a polysilane solution, impregnating carbon foams, drying, and carrying out high temperature reactions. The SiC foam monolithic catalyst comprises SiC foams,a transition layer is deposited on the SiC foams, a second carrier is deposited on the transition layer, and precious metals are loaded on the second carrier. The preparation method comprises following steps: depositing the transition layer and the second carrier, carrying out a heat treatment, and loading precious metals. The preparation method of SiC foam has the advantages of simpleness and low cost, and obtained SiC foam is a promising catalyst carrier. The SiC foam monolithic catalyst has the advantages of high catalytic activity, high strength, high temperature resistance, high heat andmass transfer rate, and long service life, and is a novel promising methane catalyst. The preparation method has the advantages of simple technology, low cost, low equipment requirements, and safe operation.