Police believe a number of incidents in Sydney's east are tied together including graffiti on a school in Maroubra, at a shopping centre in Eastgardens and two homes in January.
They want to speak to two men seen in CCTV footage in a white SUV in the vicinity of the attacks.
The male passenger in the car is described as being of Caucasian appearance with a thin build, last seen wearing a blue jumper with an orange liner, a white medical mask, dark pants and brown shoes.
The driver is described as having a large build and was last seen wearing dark clothing and a baseball cap.
NSW Police have also charged a second man allegedly involved in an anti-Semitic attack where cars were set on fire and buildings damaged in a suburb with a large Jewish population.
Graffiti including "Kill Israiel" (sic) was sprayed on buildings and footpaths in the suburb.
The December 11 incident at Woollahra in Sydney's east caused an estimated $20,000 damage.
Police arrested a 36-year-old man on Tuesday and charged him with participating in a criminal group, damaging property and driving a stolen vehicle.
He was arrested at Parklea Correctional Centre, where he was in custody on unrelated charges.
The 36-year-old will face court on his fresh charges on April 3.
A woman, Tammie Farrugia, 34, previously faced court over the same incident. She is accused of participating in a criminal group, damaging property and being carried in a stolen car.
Both investigations have been taken over by the NSW Police task force targeting anti-Semitism, Strike Force Pearl.
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