Wage growth beat market and economist expectations in the three months to April.
Pay rose by 3.4% compared with a year ago. After taking inflation into account, wage growth was 1.4%, official figures show.
The unemployment rate remained at 3.8%, and has not been lower since the October to December 1974 period, the Office for National Statistics said.
The employment rate for women was 72%, the highest on record. This is after changes to the state pension age leading to fewer women retiring between the ages of 60 and 65