The home side scored two runs an over, as they struggled to make headway against a disciplined bowling performance from a side six places below them in the world rankings.
But Trott, who top-scored with 39, believes England were not far short of a par score.
“I don’t think we were overcautious,” he said. “If you add on about 20 or 30 extra runs for the slow outfield, it would look a lot better day, but New Zealand made it very tough for us.
Alastair Cook, captaining England in a home Test match for the first time, mustered two of only three boundaries scored in the morning session as the Lord’s outfield, re-laid after archery was staged there at the Olympic Games last summer, proved conducive to slow scoring.
And, during an extreme lean spell before lunch, opener Nick Compton (16) was dismissed off the bowling of left-arm spinner Bruce Martin, after the home side had failed to score from four consecutive overs.
After lunch Cook (32) edged a swinging Trent Boult ball to BJ Watling behind the stumps.
Trott became Boult’s second victim when he edged to Dean Brownlie at third slip.
And before the close Ian Bell (31) nicked a Neil Wagner delivery behind to Watling.