According to National Grid's energy distribution arm, 16,873MW of electricity was generated from wind turbines between 7.30 and 8.30pm on Tuesday 10 Dec.
The blustery conditions in recent days have delivered record levels of wind energy and seen wind farms top the list of generation sources for much of the week.
Speaking after this weekend's record, Luke Clark, director of strategic communications at trade body RenewableUK, said the new British clean energy record was "a great early Christmas present [that] shows just how important wind is in an energy system that's changing rapidly".
"On a dark cold Sunday when we need it most, wind was providing more than 40 per cent of our power, far more than any other source of electricity," he said. "Wind energy is at the heart of our modern power system, enabling us to take practical action against dangerous climate change."
Reports in recent days have also highlighted how the spike in wind energy generation have allowed some energy suppliers to incentivise customers to use power while there is a surplus in order to help balance the grid.
Customers on recently launched flexible time-of-use tariffs are charged cheaper rates at certain times when demand is at its lowest, and higher rates at more popular times.
While supply from wind energy was strong on Saturday and Sunday night, consumers on such tariffs were offered energy prices that saw them paid for every unit of electricity they used.
One energy supplier offering a flexible tariff is Octopus Energy, whose Agile Octopus tariff paid customers were paid more than 5p/kWh for the energy they used between 3.30-4am on Saturday and Sunday night.
National Grid ESO's director of operations Duncan Burt said: "We're really excited to see this weekend's example of a smart electricity system in action. Initiatives such as this, encouraging increasing demand when there's spare renewable output, help us make the most of the green energy and run the electricity system as efficiently as possible - keeping costs down for consumers too."