The boxman in land-based craps is the dealer who sits at the center of the table with a box of money. He exchanges chips for cash and vice versa. The stickman stands at the center of the craps table and handles the stick – that is, the tool used to retrieve the dice and give them to the next shooter.
The stickman also helps settle bets. Online craps doesn’t require such dealers, though live dealer craps will have a boxman and stickman (and two other dealers).