MiniBooNE reports the first absolute cross sections for neutral current single π0 production on CH2 induced by neutrino and antineutrino interactions measured from the largest sets of NC π0 events collected to date. The principal result consists of differential cross sections measured as functions of π0 momentum and π0 angle averaged over the neutrino flux at MiniBooNE. We find total cross sections of (4.76±0.05stat±0.76sys)×10-40  cm2/nucleon at a mean energy of ⟨Eν⟩=808  MeV and (1.48±0.05stat±0.23sys)×10-40  cm2/nucleon at a mean energy of ⟨Eν⟩=664  MeV for νμ and ν̅ μ induced production, respectively. In addition, we have included measurements of the neutrino and antineutrino total cross sections for incoherent exclusive NC 1π0 production corrected for the effects of final state interactions to compare to prior results.