The construction PMI came a day after another PMI survey showed British manufacturing unexpectedly cooled in March to its slowest pace in eight months. Still, investors preferred to pay attention to the brighter spots in construction, for now.
The euro was trading down 0.2 percent near 82.76 pence. Against the dollar, sterling was up 0.1 percent above $1.66, with the dollar failing to get much traction from a private sector survey of the U.S. jobs market.
Investors were looking to buy pounds on dips, on expectations the UK economy will do better than the euro zone in coming months. That would put upward pressure on gilt yields and making sterling more attractive, traders added.
With companies looking to hire more employees, wages are also showing signs of picking up, boding well for overall demand in the economy.
At the same time, investors remain cautious about the euro, as euro zone policymakers are trying to tame the euro's recent strength. Inflation in the euro zone also fell to its lowest level since November 2009 in March.
ECB policymakers meet this Thursday, facing the dilemma of whether to take more action to spur growth and weaken the currency, which is near 2-1/2-year highs on a trade-weighted basis.
A Reuters poll released on Wednesday showed the euro is expected to drop to 82.7 pence in a month, 81.2 pence in six and just 79.5 pence in a year's time, little changed from a month ago.