The invention concerns an electric heating cable intended for pipelines. Sections (11a, 12a and 13a) of three phase conductors (11, 12 are 13) are stripped respectively. These sections are intended to be installed and both secured in place and electrically connected to each other inside a box (14) having, for example, a central cavity (15) having a rectangular cross-section, the depth of which is at least equal to the length of the stripped sections (11a, 12a and 13a) and the length of which is preferably greater than the transverse cross-section of these stripped sections of the phase conductors. They are secured in the central cavity (15) with a conductive binder (16), for example a tin solder, in order to ensure they are secured in place and electrically connected to each other.