Predictive control of blood glucose in critical ill patients has been investigated. Standard control algorithms for blood glucose only adjust the insulin infusion rate for lowering the blood sugar level. Hypoglycaemic situations are critical is this case since no automatic control action can be lunched. To avoid hypoglycaemia, controller performance is usually chosen low what results in large settling times. In the proposed predictive control scheme, glucose and insulin infusions are administrated. This allows to track a specified blood glucose profile exactly. The employed controller is model-based and tested in computer simulations.