A weft cutting device in a shuttleless loom is provided with a plate-like cutting member which after completion of beating is caused to move between a pair of weft guide members and across the weft held in position by stepped portions provided for the guide members. Escapement of the weft from the stepped portion is prohibited by an escapement preventing member located near the guide members. Weft is sufficiently tensioned by a tensioning member disposed near the cutting member and engaging weft earlier than the cutting member.