We suggest that white dwarf pulsars can compete with neutron star pulsars for producing the excesses of cosmic ray positrons and electrons (e(+/-)) observed by the PAMELA, ATIC/PPB-BETS, Fermi and HESS experiments. A double degenerate white dwarf binary mergers into a white dwarf pulsar with rotational energy (similar to 10(50)erg) comparable to a neutron star pulsar. The birth rate (similar to 1/100yr) is also similar, providing the right energy budget. Applying the neutron star theory, we show that the white dwarf pulsars can produce e(+/-), up to similar to 10TeV for high magnetic fields (> 10(8)G). In contrast to the neutron star case, the adiabatic energy losses of e(+/-) are negligible since their injection continues after the nebula expansion. The long activity also enhances the nearby sources, potentially dominating the quickly cooled e(+/-) above TeV energy, detectable by the future CALET experiment.