Kasim Khuram, aged 23, from Kenilworth Road, admitted the offence at Birmingham Crown Court after he broke into the Co-op funeral parlour in Great Barr disturbing some of the corpses, searching the property and stealing jewellery on 11 November.
Police arrived after the burglar alarm had been activated and Khuram was arrested at the scene.
Khuram is due to be sentenced at Birmingham Crown Court on 31 January 2019.
DCI John Askew from force CID, said: “This is a horrendous and disturbing act. Our thoughts remain with all those who have been affected by this crime.”