Heat gas or charcoal grill to medium. Soak kabob skewers in water for at least 30 minutes.
Slice top and bottom off of pineapple. Cut into quarters from top to bottom; remove core. Cut each quarter into 1 1/2-inch thick slices.
Alternately thread sausage, pineapple and peppers onto wooden skewers. Brush marinade onto skewers. Cook on grill until sausage reaches 160°F., turning every 5 minutes and brushing with additional marinade.