Unemployment fell 27,000 to 1.34 million in the three months to February, according to official figures from the National Statistics Office (ONS).
The number of employed persons also remained virtually unchanged at a record high of 32.7 million, up 179,000.
The number has risen by 457,000 over the past year, both for full-time and self-employed.
The average weekly income without bonuses increased by 3.4% before inflation was adjusted.
Adjusted for inflation, bonuses, including bonuses, rose 1.5% year-on-year, the highest since summer 2016.
The unemployment rate of the United Kingdom of 3.9% is now lower than at the end of 1975.
Matt Hughes, deputy head of labor market statistics, said: "The labor market remains robust and the workforce continues to grow.
"Last year's increase is due to full-time workers, both employed and self-employed.
"The result has been growing for over a year before inflation, but the wage level has not really returned to its peak before the downturn."
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The number of inactive people fell by 114,000 to 8.53 million in the last quarter, a rate of just under 21%.
The number of vacancies was almost unchanged at 852,000.