The number of people in work rose by 248,000 in the three months to February, compared with September to November 2014.
The number of unemployed people fell to 1.84 million – the lowest in six years.
Neil Carberry, CBI director for employment and skills said: “It’s great to see 248,000 more people in work, the fastest rise in employment in just under a year – thanks to our flexible jobs market.
“With real wage growth rising people have a little more money in their pockets. But we need to see a recovery in productivity before wages can rise faster.”
James Sproule, chief economist at the Institute of Directors, said: “While many people would like to see greater pay increases, wages are now rising in line with historic productivity growth, making them sustainable in the long term and allowing UK companies to remain competitive.”