In a large pot over medium high heat, heat the olive oil and quickly brown the beef pieces on all sides. Place the onion, green pepper, celery and carrots into the pot and fry for 5 minutes, stirring occasionally. Remove from the heat.
In a mixing bowl, combine the honey, lemon juice, mustard, ketchup, water, salt and pepper. Mix thoroughly.
Transfer the meat and vegetables to a 2 litre casserole. Pour the ketchup mixture over the meat and vegetables.
Bake in a preheated oven for 2 to 2 1/2 hours or until meat is tender.