Inmates barricades themselves in cells at Low Moss in Bishopbriggs, East Dunbartonshire. The 700-cell jail only opened in March 2012.
The staff whose injuries were described as slight were treated in hospital before later returning to the prison after Saturday's incident.
The Scottish Prison Service (SPS) said the matter was in the hands of the police.
Last month, a report revealed 165 assaults took place at the prison over the past year.
They included 10 attacks on staff, 140 assaults by prisoners on fellow inmates and 15 were incidences of violence on prisoners by other inmates.
However, HM Chief Inspector of Prisons David Strang, said Low Moss had "appropriate staffing levels" to ensure good order is kept.
However, it flagged up concerns about an on-going dirty protest and the short amount of time allocated to prisoners receiving methadone.
Built on the site of a former Second World War balloon barrage, Low Moss has facilities to allow prisoners to address their re-offending and re-integrate back into the community on their release from prison.
It holds adult male convicted and remand prisoners primarily from the North Strathclyde Community Justice Authority area.