Abstract: The present application relates to a laser cutting head with a variable spot trajectory shape and a cutting process, belonging to the field of laser cutting processing. The technical solution is that a laser cutting head with a variable spot trajectory shape includes a beam shaper, a trajectory control assembly and a focusing assembly that are successively arranged in an optical path direction; the trajectory control assembly includes a reflecting lens, an X-axis galvanometer and a Y-axis galvanometer; a rotation axis of the X-axis galvanometer is a vertical axis; a rotation axis of the Y-axis galvanometer is a horizontal axis; a reflection surface of the reflecting lens is opposite to a reflection surface of the X-axis galvanometer, and a reflection surface of the Y-axis galvanometer is opposite to the reflection surface of the X-axis galvanometer.