A linear LED system including a plurality of line light modules, each line light module comprising an extruded light module housing profile that extends along an axis and that has a profile wall defining an inner profile contour and an outer profile contour and of which a cross sectional view along a plane that is perpendicular to the axis is closed, wherein the profile wall in the cross sectional view defines a LED chamber. At least one LED-strip including a plurality of LEDs is accommodated in an associated LED chamber. The system further includes a plurality of interface modules, each interface module that connect the housing profiles and that an inner space in which at least one power supply module is accommodated so that the power supply module and any other electronic controller equipment is not, or at least to a lesser extend exposed to heat dissipated by the LEDs.