The tourists, playing their 50th Twenty20 match, fought back after being restricted to 135 for seven to keep Bangladesh down to 85 for nine on a slow wicket that hindered stroke-making.
Mohammad Hafeez claimed two for 11 in four overs and Shoaib Malik picked up two wickets in three balls as Pakistan recorded their fifth successive Twenty20 win over Bangladesh.
The Tigers were in danger of falling below their lowest T20 total of 78 - against New Zealand at Hamilton last year - when they stumbled to 69 for nine in the 17th over.
But Nasir Hossain hit a defiant unbeaten 35 with two boundaries and a six to ensure Bangladesh batted out their stipulated 20 overs.
Misbah was delighted by his team's performance over the past month.
"This is a good time for the team because we are really doing well," the Pakistani captain said. "It's just great the way everyone is responding with bat and ball. Everyone is performing."
Misbah said he had hoped to defend a total of around 150 because it was a tough wicket to bat on. "As it turned out, 130-plus was a good score," he said.
Mushfiqur Rahim, the disappointed Bangladesh captain, conceded Pakistan were the better side.
"It was a tough wicket to bat on," he said. "On pitches like this, it is difficult to beat a side like Pakistan which has been playing such consistent cricket of late."
The hosts were left to rue a lethargic batting display in which nine batsmen failed to reach double figures, while two ran themselves out.
The match was as good as over when Bangladesh lost half their side by the ninth over with the total at 23.
The batsmen undid the good work by the bowlers who kept the Pakistani batting in check after Misbah won the toss and elected to take first strike.
Spinner Alok Kapali, the eighth bowler used by Rahim, picked up two for 12 and Shakib Al Hasan, the former captain, finished with two for 24.
Hafeez top-scored for Pakistan with 25, but found little support from the other end.
The rivals begin a three-match one-day series in Dhaka on Thursday, which will be followed by two Tests.