The low‐lying valence excited states and Rydberg states of the radical species from the ring‐opening reactions in pyrolysis of furan biofuels have been determined by extensive density functional theory and sophisticated wave function theory calculations. The radicals 1‐C4H5O‐2, 2‐furylCH2, and 4‐C6H7O with the delocalized π‐type single electron are predicted to be most stable among the reactive species here for furan, 2‐methyfuran, and 2,5‐dimethylfuran, respectively. Predicted vertical transition energies by TD‐CAM‐B3LYP show good agreement with those by CASPT2. Some among the electronic excitations to low‐lying states can take place in the visible light region, and they may be involved in the combustion process. Further surface hopping dynamics simulations on the excited states of the most stable ring‐opening radical 1‐C4H5O‐2 of furan as an example reveal that 89.9% sampling trajectories at the initial excited state of 22A”(π1π*2) decay to the 12A’(n1π*2) state within an average of 384 fs, and then 81.2% trajectories at the 12A’ state go to the ground state within an average of 114 fs. At the end of the simulation for 1000 fs, 18.8% trajectories still stay on the excited states of 22A” and 12A’, suggesting that the reactive radicals in the ground state are mainly responsible for the combustion chemistry of furan biofuels. © 2018 Wiley Periodicals, Inc.