Body of Charu Rathod was found near the private residence of Naik at Ribandar near here in the wee hours today, they said.
As per Old Goa police officials, Rathod, a widow, had been working at the minister's residence since long.
She has been staying in Goa for last twenty years, they said.
Police suspect that she might have been killed while returning to her home last night.
Her mobile phone and a set of earrings she was wearing were missing, they said.
Family members of the minister have confirmed that Rathod was working at their residence.