The invention concerns an LED arrangement with at least one LED chip (11) comprising a radiation decoupling surface (12) through which the bulk of the electromagnetic radiation generated in the LED chip (11) is decoupled. Arranged on the radiation decoupling surface (12) is at least one phosphor layer (13) for converting the electromagnetic radiation generated in the LED chip. A housing (17) envelops portions of the LED chip (11) and the phosphor layer (13).