The invention relates to a feed mechanism of a honing machine, in particular to a compact composite numeric control dual-feed mechanism of a honing machine with constant quantity and pressure feed. The mechanism comprises a driving shaft which is connected with a main shaft and arranged in a feeding box and a rough expansion push rod and a fine expansion push rod of a honing head which are arranged inside the feeding box, and a power unit driving the rough expansion push rod and the fine expansion push rod to move. The mechanism is characterized in that the feeding box is arranged at a lower end of the main shaft, and the rough expansion push rod and the fine expansion push rod are arranged inside the driving shaft, wherein, the fine expansion push rod is a hollow shaft, a top end of the fine expansion push rod is a convex annular piston, the convex annular piston is matched with an oil cylinder formed by inner holes of a lower end of the driving shaft, the rough expansion push rod isarranged inside the fine expansion push rod, an upper end of the rough expansion push rod is connected with the driving shaft and is positioned by a fixing device, and the fixing device is connected with a driving chain driven by a servo motor. The composite numeric control dual-feed mechanism of a honing machine realizes rough honing and fine honing by constant quantity feed and constant pressure feed, and is characterized by the compact structure and the like.