Wrexham's Tour of Britain ornamental sheep are moving to a new home after two of the five sculptures were stolen.
On Sunday 'The Wrexham Sheep' tweeted that Champion had been stolen from St Giles Way.
A second tweet on Monday said Dorris had been stolen and Blessing vandalised.
North Wales Police said one of the sheep had since been recovered and appealed for information.
It is the second time Dorris has been stolen since the sculptures were installed on 17 August, to mark the first stage of the Tour of Britain cycle race heading to the town.
The Wrexham Sheep, the twitter account used by the art project, said "As a result, we're all on the move from any danger."
People have taken to Twitter to condemn the thefts.
Liam Randall tweeted: "Try and do something positive/interesting and idiots come along and ruin it."
Kate Lloyd added: "Wrexham children's art work stolen and ruined. It has no cash value and it's sending the wrong message out to younger generation of Wrexham."