We propose an uncertainty relation of space-time. This relation is characte
rized by GhT less than or similar to delta V, where T and delta V denote a
characteristic time scale and a spatial volume, respectively. Using this un
certainty relation, we give qualitative estimations for the entropies of a
black hole and our universe, We obtain qualitative agreements with the know
n results. The holographic principle of 't Hooft and Susskind is reproduced
. We also discuss cosmology and give a relation to the cosmic holographic p
rinciple of Fischler and Susskind. However, as for the maximal entropy of a
system with an energy E, we obtain the formula root EV/Gh(2), with V denot
ing the volume of the system, which is distinct from the Bekenstein entropy
formula ER/h with R denoting the length scale of the system.