Wayne Joselyn, 43, pleaded guilty to public nuisance and damaging property after disturbing the grave of Matthew and Ethel Goodwin at Carlton Cemetery between April 24 and 29.
The site was cordoned off for more than a week whilst officers conducted their investigations.
Joselyn, who appeared at Sheffield Crown Court last week, will return on January 20 for sentencing.
He is already serving a prison sentence of 55 months for offences such as burglary, fraud, theft and assault.
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