A letter has been sent to Hampshire's Police and Crime Commissioner, Michael Lane, asking him to increase the number of beat officers in the city.
The letter, from Portsmouth City Council's cabinet member Cllr Dave Ashmore, said people in Portsmouth had told him that they rarely saw a police officer on the beat.
It also explained that local people had told him that they no longer bothered to contact the police about day to day crime because they felt that the police couldn't respond sufficiently.
Cllr Ashmore wrote the letter as part of his input into the Hampshire Constabulary budget process, and went on to ask for more emphasis and resources to be directed to local beat teams in Portsmouth.
"The police are working very hard for their community,
"However there's no getting away from the fact that they are often stretched to full capacity with their time and resources.
"The police do a tremendously important job, and I feel as a council that we should be giving them maximum support."
In his letter to the police and crime commissioner Cllr Ashmore wrote:
"Thank you for the opportunity to be able to input into the budget for Hampshire Constabulary.
"I am the Cabinet Member for Environment and Community Safety here in Portsmouth.
"Many people in Portsmouth tell me that they rarely see a police officer on the beat these days.
"They also tell me that they no longer bother to contact the police about day to day crime, as the police cannot respond sufficiently.
"I know that the police need to prioritise serious crime, but they also need to be seen to respond to the needs of local residents who pay for the police through their taxes.
"I welcome the work done by the police in Portsmouth to target violent crime and domestic violence.
"I also welcome the work done to make Portsmouth a city where violent drug dealers from London and from Portsmouth feel that the city's police will be on to them.
"Therefore, in the budget proposals you are bringing forward, I would like to see more emphasis and more resources going into the local beat teams here in Portsmouth so that local residents can see and feel that there is a real police presence and that they are being protected from crime."