Ireland were bowled out for a second innings of 292 soon after resuming on the fourth day, and Mushfiqur top-scored for the hosts with seven fours among his 51 runs.
“We had no particular ambition to dominate before the start of the game. We wanted to win it and we did it. I am happy with that,” said Bangladesh skipper Shakib Al Hasan.
Opener Tamim Iqbal made 31 and put on 62 runs with Mushfiqur for the third wicket. after Ireland saw a glimmer of hope with two crucial early wickets.
Liton Das gave Bangladesh a positive start but poor fortune saw him bowled for 23 as a Mark Adair bouncer struck him off the helmet and fell onto his stumps, dislodging the bails.
Three overs later, Najmul Hossain was caught by Andy Balbirnie at slip off Andy McBrine after making just four runs.
Najmul was initially declared not out by the on-field umpires but replays confirmed a fair catch to leave Ireland jubilant and Bangladesh reduced to 43-2.
But Mushfiqur and Tamim denied the visitors further success, taking Bangladesh to 89-2 by lunch. Ben White dismissed Tamim after the break but Mominul Haque remained on 20 alongside Mushfiqur to take Bangladesh home.
Bangladesh also had pacer Ebadot Hossain to thank when his two wickets wrapped up Ireland’s innings at 292 runs.
The tourists added just six runs to their overnight 286-8 after Ebadot forced last man Graham Hume to give a catch behind the stumps for 14.
McBrine added just one run to his overnight 71 to give Ebadot a finish of 3-37.
The visitors were staring down the barrel of an innings defeat on Thursday before debutant Lorcan Tucker became Ireland’s second Test centurion with 108.
Kevin O’Brien is the only other Irishman to have hit a Test century, scoring 118 against Pakistan during their maiden Test in 2018. Ireland next head to Sri Lanka, where they will play two Tests in Galle, the first match beginning on April 16.
SCOREBOARD
Ireland first innings 214Bangladesh first innings 369
Ireland second innings
M. Commins lbw b Taijul Islam 1
J. McCollum lbw b Shakib 0
A. Balbirnie b Taijul Islam 3
H. Tector lbw b Taijul 56
C. Campher c Liton b Shakib 1
P. Moor c Liton b Shoriful 16
L. Tucker c Shoriful b Ebadot 108
A. McBrine b Ebadot 72
M. Adair c Liton b Taijul 13
G. Hume c Liton b Ebadot 14
B. White not out 0
Extras (b4, lb2, b2) 8
Total (all out, 116 overs) 292
Fall of wickets: 1-1 (McCollum), 2-7 (Commins), 3-8 (Balbirnie), 4-13 (Campher), 5-51 (Moor), 6-123 (Tector), 7-234 (Tucker), 8-265 (Adair), 9-289 (McBrine), 10-292 (Hume)
Bowling: Shakib 13-4-26-2 (nb1), Taijul 42-16-90-4, Mehidy 30-8-58-0, Ebadot 15-3-37-3, Shoriful 8-1-35-1, Khaled 7-2-38-0 (nb1), Mominul 1-0-2-0
Bangladesh second innings
Tamim Iqbal c Commins b White 31
Liton Das b Adair 23
Najmul Hossain c Balbirnie b McBrine 4
Mushfiqur Rahim not out 51
Mominul Haque not out 20
Extras (b4, lb4, w1) 9
Total (three wickets; 27.1 overs) 138
Fall of wickets: 1-32 (Liton), 2-43 (Najmul), 3-105 (Tamim)
Bowling: Adair 6-0-30-1 (w1), McBrine 13.1-0-52-1, White 7-0-43-1, Tector 1-0-5-0
