The number of people unemployed in the first three months of 2018 was 118,000 - down from 124,000 in the previous three months - as wages rise.
Scotland's unemployment rate of 4.3% is down from 4.4% in the same quarter last year.
Scotland's Employability Minister Jamie Hepburn MSP said:
"The fall in unemployment is welcome news and shows that, despite challenging economic conditions facing us as a result of Brexit, our economy and jobs market remains strong.
"Our employment rate has increased over the year to 74.7%, with 2,630,000 people now in employment, the unemployment rate has decreased over the quarter and the year to 4.3% and Scotland's female employment rate has also increased to 71.1%.
"Once more, Scotland continues to outperform the UK on employment and unemployment rates for young people, with 55.6% in employment compared to 54.1% of young people across the UK."
Kenneth Gibson MSP added:
"The fall in unemployment is great news. Nevertheless, we still have an unemployment rate that is too high, both in Ayrshire and in Scotland.
“Figures released today also show the first annual decrease in the UK’s total EU workforce since early 2010, and the largest year-on-year fall in EU nationals working in the UK since 1997. This trend is likely to continue and further emphasises the task we face in attracting talent from Europe and beyond, in an environment of increased uncertainty and global competition. Resolving these uncertainties will go a long way in providing confidence to the private sector and enable businesses to invest and tackle the challenges of the future.
“Ensuring people of all ages who are seeking work have the skills necessary to secure employment in a rapidly changing Scottish economy continues to be a priority for the SNP Government.”