Monoisotopic samples of 107Nb nuclei, produced in the proton-induced fission of 238U and separated using the IGISOL mass separator coupled to a Penning trap, were used to perform β- and γ-coincidence spectroscopy of 107Mo. Gamma transitions and excited levels in 107Mo were observed in β decay for the first time. Spin and parity 1/2+ for the ground state of 107Mo is proposed, to replace the previous 5/2+ assignment. The experimental β-decay half-life of 107Nb was estimated to be 0.27±0.02 s.