The first occurred last Monday morning around 1 on Bruce Street in Hepworth.
Investigators received reports of an intoxicated man causing a disturbance.
They were able to locate someone who matched the description of the individual, and later determined that the suspect assaulted two people.
An 18-year-old man from Arran-Elderslie was arrested, charged, and later released with a future court date.
Then on Tuesday night around 8:15, officers went to an area on Mary Street in Wiarton about someone making threats and causing mischeif.
A 29-year-old man from Owen Sound was arrested and charged.
The accused is being held until his next court appearance.