West Yorkshire's assistant chief constable Angela Williams said extra officers will be on duty at the ground and other key sites, including Leeds Bradford Airport.
Assistant chief constable Williams said in a statement: "I know many people in our communities will have been following the news updates after the tragic events in Manchester on Monday night and heard that the UK terror threat level has been raised to state Critical.
“This means an attack in the UK is expected imminently. This could happen anywhere in the UK and, at this time, there is no specific information about West Yorkshire.
“We’ve already said in earlier updates that we have increased high visibility police patrols across West Yorkshire and this has included more firearms officers at key locations to provide community reassurance. We continue to work with our partners and other emergency services in these difficult times.
“This is why we are here – to protect the communities we serve – and we remain as determined as ever to keep you safe. It’s what we are trained for and what we do best.
“The raising of the threat also means that we can, if required, call on military assistance to help us keep the communities of West Yorkshire safe. People may be expecting soldiers to be patrolling the streets today. This will not be the immediate case. The option of calling on military support is one I am constantly considering.
“I of course understand people’s concern at this time but we are doing everything we can. I would urge the public to be vigilant and to report any suspicious activity to the police by calling the confidential anti-Terrorist Hotline on 0800 789321. In an emergency always dial 999.
“There are a number of large-scale public events taking place across West Yorkshire in the coming days and later today England host South Africa in a one-day cricket match at Headingley. There will be a significant policing presence at the ground and at other key sites including Leeds Bradford International Airport.
“Moving forward we continue to offer policing support to our colleagues in Greater Manchester Police and wish to share our condolences and thoughts with the victims and their families affected by the tragic events of Monday evening.”