Abstract: The SciBooNE Collaboration reports a measurement of neutral current coherent pi(0) production on carbon by a muon neutrino beam with average energy 0.8 GeV. The separation of coherent from inclusive pi(0) production has been improved by detecting recoil protons from resonant pi(0) production. We measure the ratio of the neutral current coherent pi(0) production to total charged current cross sections to be 1.16 +/- 0.24) x 10(-2). The ratio of charged current coherent pi(+) to neutral current coherent pi(0) production is calculated to be 0.14(-0.28)(+0.30), using our published charged current coherent pion measurement.