The incident, involving a group of inmates at Low Moss Prison in Bishopbriggs, East Dunbartonshire, began at around 12.30pm.
Prison staff dealing with the disturbance are said to be bringing it towards a conclusion.
Emergency crews were called to the scene, believed to be standard procedure in such cases.
Two members of staff were taken to hospital with minor injuries suffered during the disturbance. They have since returned to the jail.
It is believed the rest of the prison is operating as normal and the incident has not involved any hostage-taking.
Staff have managed to regain control of the residential hall, it is understood, but a handful of prisoners continue to barricade themselves inside cells.
The number of inmates involved in the incident has not been confirmed and the reason for the disturbance is also unclear.
A spokeswoman for the Scottish Prison Service (SPS) said: "We can confirm that there's been an incident under way at Low Moss Prison since 12.30pm today.
"The incident is ongoing. However, progress is being made by staff and it is nearing a conclusion."
The spokeswoman added: "Two members of staff were taken to hospital and they have since returned to the establishment.
"They were taken to hospital as a precaution and they suffered only minor injuries."
The incident comes little more than a week after a report revealed that prisoners at the new jail carried out 165 assaults on fellow inmates and staff last year.
An inspection report on Low Moss disclosed that in 2012-13 there were 15 serious attacks by prisoners on other criminals being held in the jail.
There were a further 140 assaults by prisoners on fellow inmates in which the victim suffered a minor injury or no injuries, and 10 such assaults on prison staff.
There were also "five incidents of concerted indiscipline" over the year, most of which were said to be some form of sit-down protest.
The report, by HM Chief Inspector of Prison David Strang, stressed that Low Moss had "appropriate staffing levels" in place to "ensure good order is maintained", adding "most prisoners reported that they feel safe within HMP Low Moss".
Relationships between staff and prisoners were also said to be good.