The invention discloses process method and equipment for heading and anchoring parallel operation construction. According to the process, a heading face is divided into a heading machine operation area and an anchoring support area, wherein the heading machine operation area ranges from a heading head to a heading machine tail, a heading machine post-anchoring operation range serves as the anchoring support area, the heading machine operation area and the anchoring support area are collectively called as a temporary support area, temporary support is carried out in the temporary support area by adopting folding telescopic laneway hydraulic support frames, and heading machine cutting and permanent support are parallelly operated; when the heading machine cutting and anchoring support are completed for one step pitch, the hydraulic support frames positioned on the tail ends of the temporary support area are withdrawn and carried to the heading head through an auxiliary support frame lifting and carrying device, and the hydraulic support frames are lifted to complete the temporary support so as to be subjected to heading and anchoring parallel operation in a next cycle. The heading and anchoring parallel operation construction comprises a heading machine, a plurality of laneway hydraulic support frames, the auxiliary support frame lifting and carrying device, an anchoring support operation platform, a machine back transportation system and a machine tracking ventilating dustproof facility.