Warhead (20) with asymmetric initiation comprising an inner explosive charge and a tubular structure (1) and being connectable to detonator means and target sensor (106) for activating the detonator means, whereby the tubular structure (1) comprises a wall (6) and a central cavity (7) for the inner explosive charge, an outer diameter D0) an inner diameter DI, a wall thickness T=0.5 (DO−DI), a front end (2), a rear end (4), a central axis (10) connecting the front end (2) and the rear end (4), a length L measured parallel to the central axis (10) and an inner surface (8) facing the central cavity (7) and an outer surface (9) and the warhead further comprises a fragmentable material adjacent to the outer surface (9) of the tubular structure (1), whereby the wall (6) comprises a plurality of bores (12) angularly and/or axially spaced from each other and extending from the outer surface (9) in direction to the inner surface (8), the bores (12) are filled with an explosive substance (19), the outer surface (9) of the wall (6) is provided with a plurality of channels (11) and/or a plurality of channels (11) is provided within the wall (9), whereby the plurality of channels (11) connects at least a part of the plurality of the bores (12) and is filled with an explosive substance and the plurality of bores (12) is connected to a detonator by means of an explosive substance provided in the plurality of channels (11).