Using the new equation for density of states due to the generalized uncertainty relation, the entropy of Schwarzchildde Sitter spacetime is discussed. By use of the new equation for density of states, it overcomes the shortcoming that on eliminating divergence the calculation of black hole entropy with brickwall pattern needs a cut off. Thus, it gets the result of the direct proportion betwee n black hole entropy and its horizon area, brings to light the relationship between Schwarzchildde Sitter and its cosmos event horizon and makes clear that the black hole entropy is the entropy of quantum state near the event horizon.
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