One was of an elderly woman who was slashed to death while the other was a young man.
Western Highlands Provincial Police Commander, Jacob Kamiak, said the woman was slashed with an axe on her left ear, right cheek and right rib.
She died in the process.
PPC Kamiak said the suspect has been arrested and charged with wilful murder.
That incident occurred in Pila Village, Baia River, on Friday 8th of June.
The other death was reported on the 9th of June when a man was found dead in a drain opposite Flyers in Kagamuga.
PPC Kamiak said while the deceased has been identified as Alex Apo, a 38-year-old from Wasa Village in Kagua, Southern Highlands Province, the suspect is still unknown.
He said his body was discovered in the morning.
Police are still investigating both incidents to find the reason behind the deaths.