At least 30 minutes prior to grilling, marinate the chicken cubes in the teriyaki marinade. If using wooden skewers, soak them in water.
Heat the grill to medium high heat. Meanwhile, remove chicken from marinade and discard (and throw out a lot of sugar by doing so). Thread the chicken, bell peppers and onions on the skewers.
Place kebabs on the grill on close the lid. Set a time for 6-8 minutes (more time if thick pieces of chicken). When timer is up, flip the kebabs over using grill tongs. Set timer again for 6-8 minutes.