The invention relates to a LED package (10) suitable for capacitive driving, comprising at least one pair of anti-parallel oriented LEDs (20, 30). These LEDs are provided with electrical terminals (21, 22, 31, 32) at opposing surfaces of the LEDs. The LEDs are sandwiched between two substantially parallel oriented substrates (40, 50) of a dielectric material, which substrates are provided on their facing surfaces (41, 51) with a film (42, 52) of electrically conductive material, so that electrical contacts (61, 62) are available between the electrical terminals and the films of electrically conductive material. The LED package is cheap, technically simple, reliable and small-dimensioned, and can be applied in a LED assembly. A method for manufacturing such LED packages is claimed as well.