Dammika Prasad struck two decisive blows before Muttiah Muralitharan completed a 10-wicket haul to kill off Bangladesh's hopes of an unlikely record run chase as Sri Lanka won the first test by 107 runs on Thursday.
Set a world record 521-run victory target, the hosts were all out for 413 in their second innings a little over an hour after the lunch break on the fifth and final day.
The home side were on course for a stunning victory when they went to lunch on 373-6 needing a further 148 runs with Shakib Al Hasan and Mushfiqur Rahim set fair at the crease on 82 and 40 respectively.
However, Prasad ended their 111-run seventh wicket stand when Shakib dragged a short and wide delivery onto his stumps just four short of a maiden test century.
His test-best score and six-wicket haul were enough to earn him the man of the match award but he would have readily swapped the honour in favour of a Bangladesh victory.
Shakib was dismissed with the score on 403-7, already the home side's best fourth innings total and easily surpassing the 285-5 they accumulated against Zimbabwe in 2005.
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