The present application relates to the field of electronic product heat dissipation component and in particular, relates to a graphene thermally conductive gasket edge-wrapped process and an edge-wrapped graphene thermally conductive gasket. The process steps are: coating a layer of adhesive on the first layer of graphene film, placing the second layer of graphene film on the first layer of graphene film, repeating stacking to the target height, obtaining a graphene film block, punching a plurality of through holes penetrating two surfaces of the graphene film block; threading the carbon fiber through the through holes after coating an adhesive on the surface thereof; slicing along the direction parallel to the thickness direction of the graphene film, to obtain the graphene thermally conductive gasket with a specified thickness; and coating a layer of glue on the peripheral sides of the graphene thermally conductive gasket to form an edge-wrapped layer.