The vibrational energy transfer from vibrational levels of RbH(X 1Σ＋, ｖ＝0～2) by collision with H2 was determined using the integrated time-resolved laser induced fluorescence (LIF) in a five-arm crossed heat-pipe oven. Rb-H2 mixture was irradiated with pulses of 696.4 nm radiation from a OPO laser, populating 6D state by two-photon absorption. The vibrational levels of RbH(X 1Σ＋) generated in the reaction of Rb(6D) and H2 were detected by LIF technique. The nascent quantum state distributions of RbH were obtained when the delay time between the pump and probe laser was 20 ns. The nascent RbH product molecules were found to populate the lowest three vibrational (v=0, 1, 2) levels of the ground electronic state but could not be detected in any higher vibrational state. The integrated time-resolved LIF excited Ａ １Σ＋→Ｘ １Σ＋ system in the presence of H2 was recorded with delay time from 0 to 10 μs. The RbH signal of v=0, 1 levels first increased and then decreased on a larger time scale. RbH was created instantaneously then was quenched by collision and diffused. The rate equations for the population of the vibrational levels were given. The integrated profiles method permitted us to determine the rate coefficients for vibrational transfer of RbH(X 1Σ＋, ｖ＝0～2) by collision with H2. The rate coefficients for collisional transfer of RbH(X 1Σ＋) by collisions with H2 are(in units of 10-11 cm3·s-1) 3.4±0.8 and 2.8±0.6 for ｖ＝２→ｖ＝１ and ｖ＝１→ｖ＝０ respectively. The diffusion rates of v=0, 1, 2 are(in units of 105 s-1) 4.9±1.1, 1.0±0.3a nd 0.6±0.2, respectively. The experiment showed that vibrational relaxation from RbH(X 1Σ＋, ｖ＝0～2) was more efficient compared to that of other vibrational levels studied here.