His friend and co-accused, Zayne McMillan, was jailed after embarking on a racist rant on a footbridge at Bondi Beach on January 31.
McMillan, 23, was seen posing and moving his hands as though he was holding a long-arm firearm.
Two gunmen stood on the same bridge just six weeks earlier and opened fire on a crowd celebrating Hanukkah, leaving 15 people dead and dozens injured in Australia's deadliest anti-Semitic attack.
Police on Tuesday made a second arrest over the incident, charging a 23-year-old man after attending a supermarket in Double Bay.
The man has been charged with stalking or intimidating, intending to cause fear or physical harm and behaving in an offensive manner near a public place or school.
He has been granted conditional bail to appear at Waverley Local Court on May 20.
Earlier in April, a judge sentenced McMillan to 12 months in jail after he pleaded guilty to three counts of offensive behaviour in a public place and two counts of intimidation.
The First Nations bricklayer, standing on the footbridge and heavily intoxicated, shouted "f*** the Jews" before intimidating a man walking with his young daughters. The girls burst into tears.
"I'm a Koori. I can do what I like," he said.
Accused terrorist Naveed Akram and his father Sajid opened fire during Hannukah celebrations at Bondi Beach in Sydney on December 14.
Fifteen people were killed, including a 10-year-old girl, and 40 people were injured, while Sajid Akram was shot dead by police.
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