The number of zero-hour contracts used by businesses has increased by 6% in the last year.
There had also been a rise in the number of people employed on zero-hours contracts with an estimated 744,000 for April to June 2015, representing 2.4% of people in employment. The comparable figure for last year was 624,000 or 2.0% of people in employment.
Companies with more than 250 employees were more likely to employ some of their workforce using zero-hours contracts, the research showed.
The report revealed four in ten (40%) people on zero-hours contracts wanted more hours, most wanting additional hours in their current job, rather than a different or additional job.
However, the ONS said the rise in the number of zero-hour contracts was "not statistically significant", adding that "responses to the survey could be affected by changes in employers' reporting behaviour".
Commenting on the ONS data, CBI director-general John Cridland said: "The focus should be on tackling bad practice, as the number of zero hours contracts is less important than ensuring that they benefit both the individual and their employer.
"These figures, which show zero hours contracts are a small proportion of the UK labour market, again illustrate that they are most common among groups where flexibility benefits both parties," Cridland said. "For example, more than one third are young people taking their first steps in the labour market.
"Labour market flexibility continues to be a great asset to the UK economy, helping to increase the participation rate of parents - women in particular - and of older workers."
CIPD labour market adviser Gerwyn Davies said: "It is important that the debate about zero-hours contracts is a balanced one, recognising that when managed well, these contracts can benefit both employers and workers."
Davies added the quality of employment in the UK compares more favourably with other countries with more permanent contracts than Germany, France and Italy.
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