The invention relates to a highway rock blasting construction process, in particular to a high-grade highway rock cutting blasting construction process which comprises the following steps of: adopting deep-hole multiple-row millisecond blasting in the middle of a cutting; and adopting pre-cracking blasting in a position close to a slop, wherein blasting cartridges in a front row of holes and a rear row of holes or in two adjacent holes are sequentially exploded at a millisecond stage by the multiple-row millisecond blast. The invention has strict requirements for the grain diameters of rocks to be blasted and is safe to civil house facilities around the blast.