The calculation is based on tired employees being less productive or absent from work altogether.
Research firm Rand Europe, which used data from 62,000 people, said the loss equated to 1.86 per cent of economic growth.
The biggest impact was on health, with those sleeping less than six hours a night 13 per cent more likely to die than those sleeping between seven and nine hours.
The US loses 1.2 million working days a year, costing USD 411 billion or 2.28 per cent of the GDP. Japan loses 600,000 working days a year, costing USD 138 billion or 2.92 per cent of the GDP.
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The study noted that Germany loses 200,000 working days a year, costing USD 60 billion, or 1.56 per cent of the GDP while Canada loses 80,000 working days a year due to sleep deprivation, costing USD 21.4 billion or 1.35 per cent of the GDP.
The report called on employers to recognise and promote the importance of sleep, urging them to build nap rooms.
It said they should also discourage staff from "extended use" of electronic devices after working hours.
Individuals were advised to wake up at the same time each day and exercise during the day to improve their sleep.
According to the study, the "healthy daily sleep range" is between seven and nine hours per night.
Hafner said small changes could make a big difference, saying if those in the UK currently sleeping under six hours a night increased this to between six and seven hours it would add 24 billion pounds to the UK's economy.