Tries from Brendon O'Connor, Tom Youngs and Ed Slater helped the Tigers to a commanding victory at Welford Road, Owen Williams adding 17 points with the boot.
Semesa Rokoduguni and Tom Dunn crossed for Bath, but Todd Blackadder's men were ultimately well beaten as the hosts powered clear in the second half.
Leicester move up to fourth in the table, a point behind Bath and five shy of leaders Wasps.
