The transfer of CVD graphene grown on catalytic copper with an additional supporting substrate is different from that grown on the standalone copper foils, and the flexible polymer-based transfer supports are not quite suitable. For this purpose, we invented a wax-assisted crack-free graphene transfer method by taking advantage of the low polarity, high rigidity, and molecular-mixing nature of wax. Unlike other small-molecule transfer supports, the amorphous wax effectively mitigates the interfacial thermal stress caused by phase transition, enabling a clean and integral graphene transfer. Microscopic and spectroscopic characterizations reveal less doping defects of the wax-transferred graphene than its PMMA-transferred counterpart, demonstrating great electric properties with high electron and hole mobilities. Consequently, this new transfer method provides a universal solution for CVD graphene grown on various substrates, and paves the way for further extending their applications.