Cunha, now holding the post of Registrar (Vigilance), High Court of Karnataka, will come in place of B A Patil who has been transferred, a government order said here.
On September 27 last, Cunha had held Jayalalithaa and three others guilty of corruption in the 19-year-old disproportionate assets case and sentenced them to four years in prison.
The verdict had resulted in Jayalalithaa losing the chief minister's post as she was disqualified under the Representation of the People Act from contesting elections for a period of ten years-four years from the date of conviction and six years thereafter.