A quarter of large firms experiencing a cyber breach did so at least once a month, according to the Cyber Security Breaches Survey.
Commenting on the frequent cyber attacks on UK firms, Digital Economy Minister Ed Vaizey said it was "absolutely crucial businesses are secure and can protect data".
In some cases the internet-linked attacks cost millions of pounds.
The survey's results have been released alongside the government's Cyber Governance Health Check, launched following the TalkTalk cyber attack in October last year, the BBC reported.
In light of these surveys, businesses are now being urged to protect themselves better.
Vaizey said: "The UK is a world-leading digital economy and this government has made cyber security a top priority.
"Too many firms are losing money, data and consumer confidence with the vast number of cyber attacks. It's absolutely crucial businesses are secure and can protect data," Vaizey said.
The survey also suggested seven out of 10 attacks could have been prevented, and added that only a fifth of businesses understand the dangers of sharing information with third parties.
Also, a national cyber security strategy will be published later this year, setting out proposals to improve online security for the government, among businesses and for consumers, the report said.
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