Want to hunt moose in New Hampshire this fall? The deadline for entering the New Hampshire moose hunt lottery is May 27, 2016. It costs just $15 for residents and $25 for non-residents to enter the lottery (non-refundable). A total of 71 permits are proposed to be issued this year. The state's moose hunt will run from October 15 - 23, 2016. Last year, the statewide hunter success rate was 69%.