It is disclosed a connection box for housing a connection between a distribution cable and a drop cable of an optical access network. The connection box comprises an outer casing and a detachable connection plate, which may be completely housed therein. The outer casing comprises a fixing member for fixing the distribution cable. The connection plate comprises a first surface with a fixing member for fixing an end of the drop cable and a second, opposite surface with a connector holder for holding the optical connector between a distribution fiber extracted from the distribution cable and a drop fiber extracted from the drop cable. The perimeter edge of the connection plate exhibits an indentation forming a fiber passage allowing the drop fiber passing from the first surface to the second surface of the connection plate. It is also disclosed a method for connecting two optical cables using such connection box.