UK unemployment fell by 16,000 to 1.62 million in the three months to October, according to the Office for National Statistics.
It meant the unemployment rate held steady at 4.8% in the period, remaining at an 11-year high.
Average weekly earnings excluding bonuses rose by 2.6% – a slight increase on the previous month.
But economists warned there were signs the labour market had started to “cool off” since the Brexit vote.
In total, there were 31.76 million people in work, which was “slightly down on the record set recently”, said ONS senior statistician David Freeman.
“The labour market appears to have flattened off in recent months,” he said.
Fewer people looked for work, leading to lower unemployment but also a rise in “economic inactivity”, which measures people without a job who are not seeking or available to work.
There were 8.91 million people of working age who were economically inactive – 76,000 higher than in the previous period.