At tea, Pakistan were 111 for four in their second innings -- a lead of 178 runs.
A becalmed Younis Khan, who played several exaggerated leave shots, was 19 not out off 86 balls.
But Asad Shafiq had kept the scoreboard ticking over with an unbeaten 29 off 46 balls including five boundaries.
Saturday's second session saw England all-rounder Chris Woakes follow his Test-best six for 70 in the first innings with two wickets.
Pakistan were 40 for one at lunch after Mohammad Hafeez had carelessly fallen for a duck in cutting Stuart Broad straight to Joe Root at second slip.
Azhar Ali (23) then fell lbw to a desperately tight umpire's call as Woakes reduced Pakistan to 59 for three.
Misbah, in his maiden Test knock at Lord's, had made 114 in Pakistan's first innings.
But on Saturday he fell for nought when he hoisted off-spinner Moeen Ali legside and Alex Hales, running round to the mid-wicket rope, held a good catch.
Pakistan had never previously lost a Test when Misbah had made a hundred and never won one when he had made a duck.
Younis, on 11, was given out lbw by umpire Joel Wilson after a prolonged and theatrical appeal from fast bowler Steven Finn on his Middlesex home ground.
But a review showed the ball missing leg stump and Younis survived.
Shafiq then seized on a loose ball to cut Finn for four.
Shah's haul of six for 72 was the best return by a
visiting spinner against England at Lord's since Sid Pegler's seven for 65 for South Africa back in 1912.
If Pakistan's batsmen could give him enough runs to play with in a second innings, Shah was likely to be an even greater threat on a wearing surface.
England resumed on their overnight 253 for seven, after Shah induced a middle-order collapse on Friday.
They added just 19 more runs Saturday before they were all out.
Wahab Riaz cleaned up Broad before Finn went the way of several top-order batsmen in falling lbw to Shah.
The innings ended when last man Jake Ball was run out by a distance in trying to keep Chris Woakes on strike.
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