We measured two-neutrino double beta decay of ¹³⁰Te using an exposure of 300.7 kg⋅yr accumulated with the CUORE detector. Using a Bayesian analysis to fit simulated spectra to experimental data, it was possible to disentangle all the major background sources and precisely measure the two-neutrino contribution. The half-life is in agreement with past measurements with a strongly reduced uncertainty: T^2ν_1/2 =7.71^+0.08_−0.06(stat)+^+0.12−_−0.15(syst)×10²⁰ yr. This measurement is the most precise determination of the ¹³⁰ Te 2νββ decay half-life to date.