Marlon Samuels was 107 not out and West Indies captain Darren Sammy 88 not out, with their unbroken seventh-wicket stand currently worth 168.
England lead the three-match series 1-0.
England, the world's number one ranked side, were unchanged from the side that won the first Test at Lord's by five wickets to take a 1-0 lead in this three-match series.
West Indies made two changes, one enforced after fast bowler Shannon Gabriel, who made his debut at Lord's, was ruled out of the remainder of the tour with a back injury.
Gabriel was replaced by fellow fast bowler Ravi Rampaul, who missed the first Test with a neck injury.
And the tourists dropped Fidel Edwards and in the fast bowler's place recalled off-spinner Shane Shillingford, who in his last Test against Australia at his home ground in Roseau last month took 10 wickets.
The West Indies have won just two of their last 31 Tests.
But in 22 matches against Nottinghamshire and England dating back to 1906, the West Indies have never lost a first-class fixture at Trent Bridge, a run including four wins and four draws in eight Tests.