Bern cantonal police said the woman, who died after being stabbed by a sharp object, knew the other victim, a 53-year-old man who was manager, co-owner and co-founder of the privately run children’s home.
The bodies of the pair were found on Saturday at the orphanage, located near the Spiez train station.
The man, previously identified, was also stabbed with a sharp object.
Police said they had completed their search of the three-level villa and specialists were examining the evidence collected.
Nine children ranging in age from five to 14 years of age, who were being looked after at the home were relocated to other facilities, the Bern cantonal department for youth said.
Police have not yet announced whether they have found the murder weapon.
On Monday, investigators appealed for help from witnesses who may be able to provide information about what happened.
Inspectors from across the canton of Bern are involved in the investigation, which is “continuing in all directions”, police said.