Practical signicance of deceloping high strength and superhigh strength concrete was described in this paper. Development of high strength and super-high strength concrete in other countries was reviewed by authors, A new type of high strength and snper-high strength concrete, alkali-slag concrete, studied by authors, was introduced. This new concrete has more excellent properies than normal one, it can be used as either medium strength concrete or special concrete, high strength ahd super-high strehgth cohcrete.