Rates of some stress-related illnesses at Devon and Cornwall Police have more than doubled as the force has cut hundreds of jobs.
The force has lost just over 400 police officers and a similar number of civilian staff as a result of a £51 million, four-year cuts programme imposed by the Government.
But in that time, the number of days lost with officers off sick because of post traumatic stress disorder (PTSD) has risen from 121 to 277.
And while overall rates of absence have remained "fairly stable", the Police Federation said, days lost to anxiety have gone up from 1,384 in 2011-12 to 1,821 last year.
Similarly, depression accounted for 2,226 absences three years ago, compared to 3,639 in 2013-14.
Sergeant Nigel Rabbitts, chairman of the federation in Devon and Cornwall, said staff were under greater pressure as officer numbers had fallen but demand on the service had not.
"It is the psychological stress that stands out in the figures" he said. "For PTSD the number of days lost has more than doubled and there also seem to be problems with anxiety as well.
"It is very well collecting these statistics but what is the force doing with them? Are they taking any proactive measures to do anything about them?"
He added: "The cuts are having an adverse effect on our members health, and certainly officers say they feel more stressed. We would like the force to conduct a stress audit."
The force said the "sub categories" quoted by the federation did not reflect the overall trend of sickness absence. It said there were a range of support programmes available to both officers and staff.
Chief Superintendent Steve Swani said: "Policing and protecting the public we serve is a demanding challenge.
"The crime rates and the positive outcomes we provide to victims have been maintained and, in many areas, improved whilst at the same time managing to do that with fewer resources.
"Devon and Cornwall Police recognise the demands our officers and staff face. They place themselves in harms' way, deal with distressing incidents and are subjected to abuse and assaults, whilst all the time acting professionally."
Chf Supt Swani said absence through psychological disorders "has remained consistent" and that it worked with the federation and trade unions "to ensure safe systems of working".
"We monitor absence closely and we know from staff feedback and our employee assistance programme providers, who deliver counselling support to staff, that the underlying reasons for psychological disorders are principally personal issues relating to relationships and factors outside the workplace," he said.
"The evidence points to work having a positive impact on health and well-being. Therefore when staff report psychological illness our priority is to support them to remain at work or to return to work as early as possible.
"The challenge of work, the social interaction with colleagues and the purpose and achievement of work all have a positive impact on health and that is very much the case for our officers and staff."
