As applied to science and technique a creative problem is defined as stemming from the resolution of a contradiction. The concept of state space for the problem is introduced and the abstract model for the problem as an element of the state space is proposed. Then the solving consists in extension of the space dimension. The contradiction is resolved by separation of the required contradictory properties into different coordinates. We present examples from different science and technique fields (mathematics, physics, biology, medicine and communications). It is noted that the proposed concept can serve as the basis for developing of practical methodology for creative problems solving.