The graffiti appeared on Scroggy Road and Pigeontown Road in Glenavy, and on the railway bridge on Glenavy road just outside of Moira.
Ms Guy said: "This graffiti is completely unacceptable. The fact it is not an isolated incident is concerning.
"We have reported the incidents to the PSNI, Council and Translink to ensure it is cleared swiftly and we hope those who have done this can be caught. There is no place for this expression of hatred and intolerance."
Councillor Kemp said: "Those behind this are mindless and completely at odds to the people living in these areas, who are resolutely welcoming and tolerant.
"Local people are disgusted and the individuals doing this need to stop.
"I will continue to liaise with the local neighbourhood policing team and others to ensure these incidents come to an end."
Ms Guy said: "This graffiti is completely unacceptable. The fact it is not an isolated incident is concerning.
"We have reported the incidents to the PSNI, Council and Translink to ensure it is cleared swiftly and we hope those who have done this can be caught. There is no place for this expression of hatred and intolerance."
Councillor Kemp said: "Those behind this are mindless and completely at odds to the people living in these areas, who are resolutely welcoming and tolerant.
"Local people are disgusted and the individuals doing this need to stop.
"I will continue to liaise with the local neighbourhood policing team and others to ensure these incidents come to an end."