Joanne Bernard says the call to her constituency office on Monday had nothing to do with her or any member of her family, but she declined to say what it was about.
Bernard says she wasn't comfortable with the context of the call, which was professional in nature, so she contacted police.
She says RCMP officers do not regularly contact her in her role as minister.
The Mounties said Tuesday that they are conducting an internal investigation after Bernard alleged that an officer made an inappropriate comment to her and a member of her staff.
A spokesman wouldn't reveal details about the comment or the officer allegedly involved.