Correlations of luminescence intensity (a 2 nd order correlator g (2) (τ ), where τ is the delay time between photons in registered photon pairs) have been studied under Bose-Einstein condensation of dipolar excitons in the temperature range of 0.45÷4.2 K. Photoexcited dipolar excitons were collected in a lateral trap in GaAs/AlGaAs Schottky-diode heterostructure with single wide (25 nm) quantum well under electric bias applied between heterolayers. Two-photon correlations were measured with the use of a classical Hanbury Brown-Twiss two-beam intensity interferometer with the time resolution of ≈ 0.4 ns. Photon "bunching" has been observed near the Bose condensation threshold of dipolar excitons that was determined by the appearance of a narrow luminescence line of exciton condensate at optical pumping increase (FWHM of the narrow line at the threshold 200 µeV). The two-photon correlation function shows super-poissonian distribution, g (2) (τ ) > 1, at time scales of system coherence (τc 1 ns). No photon bunching was observed with the used time resolution at the excitation pumping appreciably below the condensation threshold. At excitation pumping well above the threshold, when the narrow line of exciton condensate begins to grow in the luminescence spectrum, the photon bunching is decreasing and finally vanishes with further excitation power increase. In this pumping range, the photon correlation distribution becomes poissonian reflecting the single-quantum-state origin of excitonic Bose condensate. Under the same conditions a first-order spatial correlator, g (1) (r), measured by means of the luminescence amplitude interference from spatially separated condensate parts under cw photoexcitation, remains significant on spatial scales around 4 µm. The discovered effect of photon bunching is rather temperature-sensitive: it drops several times with temperature increase from 0.45 K up to 4.2 K. If we assume that the luminescence of dipolar excitons collected in the lateral trap reflects directly coherent properties of interacting exciton gas, the observed phenomenon of photon bunching nearby condensation threshold -where exciton density and hence luminescence intensity fluctuations are most essential -manifests phase transition in interacting exciton Bose gas. It can be used as an independent tool for exciton Bose condensation detection.