Brazilian midfielder Renan Bressan brought BATE level with a 58th-minute penalty before Maxim Bordachev and Pavel Nekhaichik added two more to clinch victory.
The win gave BATE an unassailable nine-point lead over second-placed Shakhtyor Soligorsk - beaten 1-0 at home by Neman Grodno on Saturday - with just one round of matches in the April-November season remaining.
It is BATE's seventh championship since 1992, putting them level with Dynamo Minsk, the country's most successful club that also won the Soviet league title in 1982.
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