Documents filed Tuesday in Los Angeles Superior Court state that Falk entrusted his wife, Shera Danese Falk, to manage his affairs and care before his health deteriorated.
Catherine Falk applied to be named conservator over her father's affairs in December, stating her father was suffering from Alzheimer's disease.
The former "Columbo" star's wife contends that Falk is receiving adequate care and does not have a close relationship with his daughter. Her filing includes declarations from the couple's accountant, housekeeper and numerous friends, including the ex-wife of Johnny Carson and actor Joe Mantegna.