The invention provides a LED arrangement including a LED string of a series arrangement of LED segments. A LED segment includes a single LED or a series arrangement of LEDs. A switching element (12, 22) is arranged in parallel with each corresponding LED segment (10, 20) of the LED string, for controlling a current (52, 62) through the LED segment (10, 20). A capacitor (13, 23) is arranged in parallel with each corresponding LED segment (10, 20) in order to prevent the occurrence of possibly harmful current spikes while switching one or more LED segments. The LED arrangement may also include a switched-mode power supply (2001). The invention further provides a LED assembly. A plurality of such LED assemblies assembles easily into a LED arrangement according to the invention.