Trott batted more than eight hours for his 226 in England's first innings 505 all out to become the seventh England batsman to score a double hundred at Lord’s.
He finally fell victim to Shahadat Hossain, who wrapped up the England innings with three quick wickets to finish with five for 98 and earn the distinction of becoming the first Bangladesh player to win a place on the Lord's honours' board.
The Bangladesh top order responded with a combination of resolute defence interspersed with some cavalier carves outside the off-stump to reach 172 for two at the close.
England lost their way in the morning session before a good crowd on a sunny day, crawling from 362 for four overnight to 456 for six.
SCORE BOARD
ENGLAND (I Innings, O/n: 362/4):
Strauss b Mahmudullah 83
Cook lbw Shahadat 7
Trott c Kayes b Shahadat 226
Pietersen b Shakib 18
Bell b Rubel 17
Morgan c Rahim b Shahadat 44
Prior (run out) 16
Bresnan c Siddique b Shahadat 25
Swann c Rubel b Shakib 22
Anderson b Shahadat 13
Finn (not out) 3
Extras (LB-10, NB-13b, W-8) 31
Total (all out, 125 overs) 505
Fall of wickets: 1-7, 2-188, 3-227, 4-258, 5-370, 6-400, 7-463, 8-478, 9-498.
Bowling: Shahadat Hossain 28-3-98-5, Robiul 22-2-107-0, Shakib 27-3-109-2, Rubel 23-0-109-1, Mahmudullah 23-3-59-1, Ashraful 2-0-13-0.
BANGLADESH (I Innings):
Tamim (run out) 55
Kayes c Strauss b Finn 43
Siddique (batting) 53
Islam (batting) 16
Extras (LB-1, W-3, NB-1) 5
Total (for 2 wkts, 53 overs) 172
Fall of wickets: 1-88, 2-134.
Bowling: Anderson 16-2-52-0, Bresnan 15-2-65-0, Finn 12-4-39-1, Swann 10-6-15-0.