  We address the localization of gravity on the Friedmann-Robertson-Walker type
brane embedded in either $AdS_{5}$ or $dS_{5}$ bulk space,and derive two
definite limits between which the value of the bulk cosmological constant has
to lie in order to localize the graviton on the brane.The lower limit implies
that the brane should be either $dS_{4}$ or 4d Minkowski in the $AdS_{5}$
bulk.The positive upper limit indicates that the gravity can be trapped also on
curved brane in the $dS_{5}$ bulk space.Some implications to recent
cosmological scenarios are also discussed.
