Chief Constable Olivia Pinkney said: "Our thoughts are with the families, friends and colleagues of those killed and seriously injured as a result of the events in London yesterday,
"There is currently no specific intelligence to indicate an immediate threat to any locations within the UK, including Hampshire or the Isle of Wight.
"As is standard procedure whenever an incident like this happens, whether in the UK or abroad, we are reviewing our security procedures to ensure that they are appropriate and if any changes need to be made.
"We have also reviewed all pre-planned events taking place in Hampshire and the Isle of Wight in the coming days, as is normal procedure, too ensure all plans are up-to-date.
"At this time we are satisfied our plans are robust but we will continue to review the situation and follow any national guidance.
"We understand that the events in London yesterday may cause people to worry but we would renew our advice to our communities to be alert but not to be alarmed.
"We would advise members of the public to remain vigilant and if you see anything that causes you concern or raises your suspicions do not hesitate to call the Anti-Terrorist Hotline on 0800 789 321, or 999 in an emergency."