A linear induction motor comprises an electrically conductive secondary element of a rectangular cross-section and an inductor. The inductor has laminated U-shaped and E-shaped cores, each carrying a polyphase winding. The laminated cores of each shape make up two respective rows in each of which they are arranged one after another with their bases facing respective faces of the secondary element. The outermost legs of each pair of the E-shaped cores in both rows are disposed between the adjacent U-shaped cores of each row without a gap so that the bases of the E-shaped cores and the bases of the U-shaped cores of the respective rows define non-serrated active areas.