The dependences of the radiative lifetimes τ_nvNfor rovibronic levels of the h³∑_g⁺, g ³∑_g⁺, i³Π_g ⁺, and j³Δ_g⁺ states on the vibrational, v, and rotational, N, quantum numbers (v = 0-3 and N = 1-6) of H₂ have been derived for the first time. We calculated the absolute values of τ_nvN in terms of a nonadiabatic model that incorporates the interaction between the (3sσ)³∑ _g⁺, (3dσ)³∑_g⁺, (3dπ)³Π_g⁺, and (3dδ) ³Δ_g⁺ states by using our semiempirical expansion coefficients for the wave functions in the Born-Oppenheimer basis and the dipole moments for electronic transitions to the (2pσ) ³∑_u⁺ and (2pπ)³Π _u states. We analyze the perturbations of the radiative lifetimes for rovibronic levels of the h³∑_g⁺, g ³∑_g⁺, i³Π_g ⁺, and j³Δ_g⁺ states in the triplet 3s, 3d complex of H₂. Considerable differences (reaching a factor of 5 for h³∑_g⁺ and a factor of 2 for i³π_g⁺) were found between the nonadiabatic and adiabatic radiative lifetimes of rovibronic levels. These differences can be explained both by a significant effect of the (3sσ)³∑_g⁺ state in the i ³Π_g⁺ perturbation and by a considerable difference (reaching an order of magnitude) between the adiabatic values of τ_nvN for (3sσ)³∑_g⁺ and (3dπ)³Π_g⁺. The differences between the nonadiabatic and adiabatic lifetimes for rovibronic levels of the g ³∑_g⁺ and j³Δ _g⁺ states are much smaller (no more than 11%).