Basingstoke and North Hampshire Hospital has been hit by the nationwide cyber attack on the NHS.
Such programs stop users from accessing their files until they make a payment in Bitcoin.
Large swathes of the NHS have been paralysed by the cyber attack, which hit 200,000 victims in 150 countries around the world.
The British government defended its cyber-security policies on Monday in the aftermath of an unprecedented malware attack.
But speaking publicly for the first time since the cyberattack, Health Secretary Jeremy Hunt said that "according to the latest intelligence we have not seen a second wave of attacks".
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Although no hospitals in the county were affected by last Friday's attack, the decision to close the IT systems was taken as a precautionary measure.
The National Cyber Security Centre has been coordinating the State's response to the threat from the fast-spreading malicious software and has issued a series of advisory notices to Government departments and agencies.
There is still no evidence any of our hospital systems were affected and we are completely confident no patient data was involved.
On Sunday night, Microsoft blamed the U.S. spy agency that had originally developed software that allowed the ransomware attack to infect computers.
Barts Health, which runs the hospital, was among a fifth of the country's NHS trusts to have its computers infected by ransomware.
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"If you have a hospital appointment you should still attend unless you are contacted and told not to".
Questions have been raised over Trident's vulnerability to potential cyber attacks, as the system is believed to use ageing Window's XP software - the same operating system targeted by the global ransomware attack.
Spanish telco giant Telefonica and United States delivery service FedEx were among the businesses affected.
A spokesperson told Pulse: 'Those NHS organisations in the region who were not directly affected by the virus also closed their external servers as a precautionary step to ensure the virus could not spread'.
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