The invention discloses a hydrotreating method of a heavy hydrocarbon raw material. The method comprises the following steps: at least one up-flow reactor and at least one down-flow fixed bed reactorare connected in series, a heavy hydrocarbon raw material is sequentially enable to pass through the up-flow reactor and the down-flow fixed bed reactor, and effluent of the down-flow fixed bed reactor is separated to obtain products; wherein the up-flow reactor is at least filled with a hydrotreating catalyst provided by the invention, a hydrotreating catalyst carrier at least comprises seven channels penetrating through the carrier; the first channel, the second channel and the third channel penetrate through the sphere center of the catalyst carrier and are communicated with one another, every two channels are perpendicular to each other, the fourth channel, the fifth channel, the sixth channel and the seventh channel are connected end to end and communicated, and the total volume of the channels accounts for 20%-60% of the volume of the spherical carrier. According to the method, the overall performance of the catalyst can be improved, the catalytic performance synchronization of the up-flow catalyst and the fixed bed catalyst is realized, the catalytic activity is improved, and the operation period is prolonged.