Warhead with asymmetric initiation comprising an inner explosive charge and a tubular structure and being connectable to detonator means and target sensor for activating the detonator means; A) the tubular structure comprising a wall and a central cavity for the inner explosive charge, an outer diameter Do, an inner diameter D I, a wall thickness T = 0.5 (D O - D I), a front end, a rear end, a central axis connecting the front end and the rear end and a length L measured parallel to the central axis; and further comprising an inner surface facing the central cavity and an outer surface; B) the warhead further comprising a fragmentable material adjacent to the outer surface of the tubular structure, wherein C) the wall comprises a plurality of bores angularly and/or axially spaced from each other and extending from the outer surface in direction to the inner surface; D) the bores are filled with an explosive substance by means of isostatic pressing; E) the outer surface of the wall is provided with a plurality of channels and/or a plurality of channels is provided within the wall, whereby F) the plurality of channels connects at least a part of the plurality of the bores and is filled with an explosive substance by means of isostatic pressing; G) the plurality of bores is connected to a detonator by means of an explosive substance provided in the plurality of channels; H) the depth C of the channels on the outer surface or the diameter of the channels within the wall is in the range of 0.2 T < C < 0.8 T; I) the depth of the bores is larger than depth C of the channels; and K) the entity of all channels has a volume v, which is smaller than 15 % of the theoretical volume V = 0.25 π L (D o 2 - D i 2) of the tubular structure without channels. A) the tubular structure comprising a wall and a central cavity for the inner explosive charge, an outer diameter Do, an inner diameter D I, a wall thickness T = 0.5 (D O - D I), a front end, a rear end, a central axis connecting the front end and the rear end and a length L measured parallel to the central axis; and further comprising an inner surface facing the central cavity and an outer surface; B) the warhead further comprising a fragmentable material adjacent to the outer surface of the tubular structure, wherein C) the wall comprises a plurality of bores angularly and/or axially spaced from each other and extending from the outer surface in direction to the inner surface; D) the bores are filled with an explosive substance by means of isostatic pressing; E) the outer surface of the wall is provided with a plurality of channels and/or a plurality of channels is provided within the wall, whereby F) the plurality of channels connects at least a part of the plurality of the bores and is filled with an explosive substance by means of isostatic pressing; G) the plurality of bores is connected to a detonator by means of an explosive substance provided in the plurality of channels; H) the depth C of the channels on the outer surface or the diameter of the channels within the wall is in the range of 0.2 T < C < 0.8 T; I) the depth of the bores is larger than depth C of the channels; and K) the entity of all channels has a volume v, which is smaller than 15 % of the theoretical volume V = 0.25 π L (D o 2 - D i 2) of the tubular structure without channels.