The present disclosure provides a method, devices, a numerical control machine, and a computer storage medium for detecting machine processing trajectory space. The method includes: obtaining data of a trajectory AB of a machine processing and spatial data of a specified space area; converting a function of the data of the trajectory AB into a univariate function P=f (u) with respect to a trajectory parameter u; determining a point set Ui of the trajectory AB on an inner side of each curved surface Si based on spatial data of the individual curved surfaces Si forming the specified space area and the function P=f(u); and determining a positional relationship between the trajectory AB and the specified space area based on the point sets Ui.