The New Jersey Devils selected Boucher in the fourth round (No. 99) at the 2011 NHL Draft primarily for his scoring potential. During his second season with Sarnia of the Ontario Hockey League, Boucher gave the Devils a glimpse of what they were looking for.
After playing one game for Albany of the American Hockey League at the end of the previous season, Boucher broke out in 2012-13, when he broke Steven Stamkos' Sarnia record for most goals in a season by scoring 62 in 68 games. Stamkos scored 58 goals in 61 games in 2007-08.