An encapsulation method and encapsulation structure of an organic light emitting diode (OLED) are provided. The method includes: preparing an OLED substrate, the OLED substrate comprises a base substrate and at least one OLED device formed on the base substrate; forming a first encapsulation layer at a side of the OLED substrate formed with the OLED device to cover the OLED device; and forming a second encapsulation layer on the first encapsulation layer, the second encapsulation layer is a metal layer.