A programmable resistive memory has a plurality of programmable resistive devices (PRD) and at least one sensing circuit. The at least one of the programmable resistive device can include at least one programmable resistive element (PRE). The sensing circuit can include one PRD unit and a reference unit. Each unit has at least one capacitor to charge to a second supply voltage line and to discharge to the first supply voltage line through the PRE and the reference element, respectively. The capacitors are also coupled to comparators to monitor discharging voltages with respect to a reference voltage. By comparing the time difference when the comparators change their outputs, the magnitude of the PRE resistance with respect to the reference element resistance can be determined and converted into logic states.