We measured two-neutrino double beta decay of $^{130}$Te using an exposure of 300.7 kg$cdot$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: $T^{2 u}_{1/2} = 7.71^{+0.08}_{-0.06}mathrm{(stat.)}^{+0.12}_{-0.15}mathrm{(syst.)}times10^{20}$ yr. This measurement is the most precise determination of the $^{130}$Te 2$ ubetabeta$ decay half-life to date.
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