A spokeswoman for Herefordshire Council said its officers had taken possession "achieved through peaceful re-entry for breach of three leases".
The winding-up petition was brought by HM Customs and Revenue, after a series of tax bills went unpaid.
The club had also failed to pay players, staff and other creditors.
A last-ditch attempt to save the 90-year-old club fell through on Friday when owner Andy Lonsdale, who promised he would invest £1m of his own money, was late to court claiming he had been stuck in traffic.
The council, which owns the land, said on Friday: "[We] will consider the appropriate process for procuring a new tenant to ensure the continuation of football."
Chris Williams, chairman of Hereford United Supporters' Trust, said a "phoenix club" could be established by August, in time for the start of the next football season.
Hereford United's Edgar Street ground has been repossessed after the football club was wound up at the High Court on Friday.