According to the National Statistical Office, the number of workers was 32.7 million, the highest ever.
Employment has increased by 179,000 in March since the start of the record in 1971 and was the highest at 32.7 million in February.
Over the past year, 457,000 people have increased in both full-time employees and self-employed.
The number of people working part-time jobs has fallen by 15,000, the National Statistical Office said.
The unemployment rate decreased by 27,000 to 1.34 million, and the general trend started in early 2012.
The unemployment rate in the UK is 3.9%, which is lower than ever since 1975.
Average earnings increased 3.5% in February, but remained unchanged last month, but still outstripped inflation.
Adjusted for inflation, wages, including bonuses, rose 1.6% this year, the highest since summer 2016.
The number of people who are not economically active has fallen by 114,000 to 8,530,000 in the last quarter, just under 21%.
The number of vacancies has not changed to 852,000.
Matt Hughes, Labor Market Statistics Representative at ONS, said: "The job market continues to grow and the number of people working continues to grow.
"The increase over the last year is all from employees and self-employed people.
"Income has been rising for more than a year ahead of inflation, but actual wage levels have not yet returned to their peak before the recession," he said.
Total wages, including bonuses, are currently £ 494 a week, compared to £ 525 in February 2008, the year of economic bankruptcy.