The Baksan Underground Scintillation Telescope (BUST) has been operating under the neutrino
burst search program since the mid-1980s. As a target, we use two parts of the facility with a
total mass of 240 tons. The current status of the experiment is presented. The possibilities of the
BUST in detecting neutrino bursts from nearby supernovae are shown. For the period from June
30, 1980 to December 31, 2021, the observation time was 35.8 years. No candidate for the stellar
core collapse has been detected during the observation period. This leads to the value of the upper
limit of the average frequency of gravitational collapses of stars in the Galaxy 0.064 year −1 at the
90% confidence level.