Described is a low power and low jitter phase locked loop (PLL) or delay locked loop (DLL) with digital leakage compensation. The compensation is provided by an apparatus which comprises: a circuitry to generate a pulse with a digitally controlled pulse width, wherein the pulse width is proportional to a static phase error of a PLL or a DLL; and a charge pump coupled to the circuitry, wherein the charge pump is to receive the pulse and to source or sink current to or from a node according to the pulse width.