The tyre on the rear wheel blew last night as she and three others were returning to Dublin from Co Leitrim. Gardaì in Carrick On Shannon are currently investigating the alleged tampering.
The tyre blew out near Kilcock, causing the car to swerve from the outside lane to the hard shoulder, narrowly missing a truck.
On examination the tyre had more than 12 abrasions and holes in the tyre wall.
Dana said they had the tyre examined in Dublin this morning. They were told that it could have been deliberately cut, but it is not possible to say as the damage is so bad.
Gardaí confirmed they received a report of alleged criminal damage that is now under investigation.
Dana cancelled her engagements in counties Wicklow and Wexford for today as a result of the incident but will resume on the campaign trail tomorrow.