We study cosmological perturbations in the brane models with an induced Einstein-Hilbert term on a brane . We consider an inflaton confined to a de Sitter brane in a five-dimensional Minkowski spacetime . Inflaton fluctuations excite Kaluza-Klein modes of bulk metric perturbations with mass m ^ { 2 } = -2 ( 2 \ell - 1 ) ( \ell + 1 ) H ^ { 2 } and m ^ { 2 } = -2 \ell ( 2 \ell + 3 ) H ^ { 2 } where \ell is an integer . There are two branches ( \pm branches ) of solutions for the background spacetime . In the + branch , which includes the self-accelerating universe , a resonance appears for a mode with m ^ { 2 } = 2 H ^ { 2 } due to a spin-0 perturbation with m ^ { 2 } = 2 H ^ { 2 } . The self-accelerating universe has a distinct feature because there is also a helicity-0 mode of spin-2 perturbations with m ^ { 2 } = 2 H ^ { 2 } . In the - branch , which can be thought as the Randall-Sundrum type brane-world with the high energy quantum corrections , there is no resonance . At high energies , we analytically confirm that four-dimensional Einstein gravity is recovered , which is related to the disappearance of van Dam-Veltman-Zakharov discontinuity in de Sitter spacetime . On sufficiently small scales , we confirm that the lineariaed gravity on the brane is well described by the Brans-Dicke theory with \omega = 3 Hr _ { c } in - branch and \omega = -3 Hr _ { c } in + branch , respectively , which confirms the existence of the ghost in + branch . We also study large scale perturbations . In + branch , the resonance induces a non-trivial anisotropic stress on the brane via the projection of Weyl tensor in the bulk , but no instability is shown to exist on the brane .