Ashley Gamble, from Leicester, said that dozens of the creepie-crawlies emerged from a cocoon on the fruit bought from their local Asda.
There is speculation they were Brazilian wandering spiders, a bite from which can cause an "extremely painful" erection and possible death.
Asda said finds like this were "rare" and it was investigating further.
Gamble, who moved his family out of the home for a brief period, told The Sun that it was like "something out of a horror movie".
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"We sell one billion bananas every year and the chance of finding a spider is incredibly low, but very occasionally one hangs around to give us a fright."
To rid the property of the spiders a pest control firm heated the house up to 60 degree Centigrade to neutralise them, the BBC reported.
Paul Gale, from the company, said Brazilian wandering spiders were "potentially lethal".
"They are from a humid, moist climate. The heat we're putting in is a dry heat and they are unable to live."
However, he added that the 'spiders in fruit stories' could be "blown out of proportion" as they were probably more likely to be harmless and from the UK.
There has been no independent confirmation of what species was found at the house, the report said.
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