Shabazz Napier supplied a double-double of 12 points and 12 rebounds and also dished out six assists for the Huskies (4-0).
Ryan Boatright added 16 points as UConn broke open a close game with a second-half surge.
Boston University (2-1) fell despite 17 points from D.J. Irving.
Dom Morris helped out with 13 points with nine rebounds.
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