Ms Mugo said Judiciary officers from Kirinyaga and Nyeri counties visited the morgue and had the body transferred to Outspan Funeral Home.
Mr Mukunya joined the Judiciary around year 2015 during the last recruitment of judges.
He was posted to the Bungoma Environment and Lands Court and had recently been moved to Kerugoya.
He served many years as a High Court advocate.
Chief Justice David Maraga condoled with the family in a tweet.
He wrote: "I have learnt with great sadness about the demise of Judge Mukunya, a personal friend of many years [and] an outstanding jurist. Heartfelt condolences to his family and friends."