A system for omni-orientational wireless energy transfer is described. A transmitter unit has a transmitter resonator with a coil that is configured to be coupled to a power supply to wirelessly transmit power to a receiver unit. A receiver unit has a receiver resonator with a coil coupled to a device load. At least one of the resonators is a non-planar resonator that spans a non-degenerate two-dimensional surface having at least one concave portion.