The present invention relates to a head lamp or flashlight (1) comprising a light source (2) and an auxiliary optical unit (3). In order to propose a head lamp or flashlight (1), the emitted light cone (10, 10′) of which generates a stable light cone (10, 10′) even in the case of movements and/or vibrations and which allows a uniform and flicker-free illumination of the path (9, 9′) ahead, it is proposed that the light source consists of a matrix (2) having a plurality of light emitting diodes (LEDs) or having a plurality of groups of LEDs which are positioned differently relative to the auxiliary lens (3), such that the different LEDs or the different groups of LEDs generate light cones (10, 10′) with different emission angles with respect to the optical axis (7) of the lamp, wherein the matrix (2) is connected to a microprocessor (4) which, depending on input data, regulates which LED or which group of LEDs of the matrix (2) is luminous, as a result of which a stable light cone (10, 10′) is emitted independently of a movement of the lamp (1).