On Thursday, volunteers stopped cars at the gate, advising visitors it was best to come back this weekend unless they were coming for a funeral.
One reason the cemetery is asking people to stay away for a couple of days is that some trees which did not come down, need to come down because they are in danger of falling down after being weakened by the storm.
The cemetery has removed about 40 broken headstones and replaced them with temporary markers.
The full clean up could last a couple of months.
Despite the damage, five funerals were held at the cemetery on Thursday with at least 20 more expected on Friday.