Cut beef into cubes 1x1/2 inch. Add to a medium mixing bowl along with the onion, salt, black pepper, and lime juice. Mix well, cover, and refrigerate overnight.
Preheat grill for high heat.
Thread beef on skewers, 6 to 8 pieces per skewer.
Lightly oil grate, and place kebobs on grill. Cook for 3 to 4 minutes per side, 12 to 16 minutes in all.
