Originally, the Unruh effect is considered in the Minkowski spacetime. That is, for a uniformly accelerated observer in the Minkowski spacetime, there will be an event horizon, and the observer will detect radiation from it. In this paper, we extend the Unruh effect to the Kruskal spacetime. After defining some special null hypersurface in the Kruskal spacetime, we find that it can be considere...