An electrical connection box for connecting a panel of exterior cladding of a building, the connection box including a first shell and a second shell which are interlockable, the first shell including a base including one aperture topped by a sealing chamber, a lateral wall surrounding the base and extending perpendicularly to it, the lateral wall including a removable hatch, removable to expose a wire passage, an electrical terminal connected to the base, with the axis perpendicular to the base; the second shell including a base, a lateral wall surrounding the base and extending perpendicularly to it, the lateral wall including a wire passage, an electrical terminal of inverse polarity to that of the electrical terminal of the first shell, the electrical terminal having an axis perpendicular to the base, connected to the base and positioned in such a way that it is plumb with the electrical terminal of the first shell when the first and the second shell are interlocked.