A stem (H') of a scion sapling is clamped by a scion sapling clamp means and is cut therebelow, whereas a stem (D') of a stock sapling is clamped by a stock sapling clamp means and is cut thereabove. Then, the cut face of the scion sapling is joined to the cut face of the stock sapling, and the joint is fixed by a clip (10). In this grafting method, each of the paired stem nipping heads (10a) providing the tip of the clip (10) is formed with a forwardly open groove (10d). A joint support plate (82) in the form of a horizontal plate is moved to approach and engage the stems (H', D') from behind in opposition to the clip (10) which also approaches the stems (H', D'), thereby regulating the stems (H', D') in posture so that they are aligned on a vertical line. In this state, the joint is fixed by the clip (10). <IMAGE>