Researchers analysed figures from Lancashire Constabulary across three tournaments in 2002, 2006, and 2010.
After controlling for day of the week, incidents of domestic abuse rose by 38 per cent in Lancashire when the England team played and lost and increased by 26 per cent when the England national team played and won or drew compared with days when there was no England match.
There was also a carry-over effect, with incidents of domestic abuse 11 per cent higher the day after an England match.
There was also evidence that incidents were high on the day following an England game, with an average of 70.5 reported cases, and the number of cases also rose whenever the England game was played on a weekend.
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"The World Cup appears a reason for many to party, however delight and expectation can turn into despair and conflict with the kick of a ball," a police officer quoted in the report said.
The researchers said there could be several factors behind these findings.
"The tournament is held in the summer and is associated with warmer temperatures, increased alcohol consumption and brings individuals in closer proximity to others.
"Although it is difficult to say the tournament is a causal factor, the prestigious tournament does concentrate the risk factors into a short and volatile period, thereby intensifying the concepts of masculinity, rivalry and aggression," researchers said.
"The tournament goes on for a whole month -- this creates all sort of problems, often aggravated by alcohol, on the smallest of issues such as what programme the TV is tuned into," a Social Services representative said.
The researchers say these findings are significant because they could lead to new ways to tackle domestic violence and so reduce "the misery of abused partners, as well as the children and family members."
The study was published in the Journal of Research in Crime and Delinquency.