The number of cases for the area has gone up from 602 per 100,000 population on January 18 to 972, an increase of 370.
It is the only area of Wrexham County Borough Council to have seen numbers rise this week.
Until now the town and its countryside has escaped the large case figures which make Wrexham the worst area in Wales for the rate of infection per 100,000 population.
But as areas of the town are seeing figure fall, for instance Caia Park has dropped to 896from 1064, Chirk has seen the sharp rise.
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The numbers in the Bangor-on-Dee, Penley and Overton area have also risen although remain low, rising from 256 to 271 per 100,000.
Lawrence Isted for Wrexham County Borough Council said the principal settings for the virus remaining households followed, some way below, by outbreaks at the Maelor Hospital, in care/nursing homes and the prison. There were also several work-place clusters.
He said a vaccination centre in Wrexham would open at the Catrin Finch Centre on the university campus on Tuesday but stressed that people cannot just turn up; they must wait for an invitation.
"All GP practices have agreed to provide vaccinations and will have received some supplies this week. This will continue and expand in the coming days with priority groups being contacted to attend for vaccinations. Again, people cannot just turn up; they must wait for an invitation."