LOS ANGELES (CBSLA.com) — Things got heated outside L.A. City Hall on Sunday when demonstrators rallying in support of police clashed with protesters on the other side of the street, and the issue.

Police arrested a man who got into an altercation with a woman rallying with the police supporters.

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“I think it’s racism. They came over here to target black people. They’re arresting me because I’m black,” a man said to CBS2/KCAL9’s Greg Mills while he was being handcuffed by LAPD officers.

“I think they’re arresting you because you pushed her,” Mills said to him.

The man said, “I didn’t push her. She pushed me.”

The woman who pressed charges against the man said, “I was blocking his sign, just putting my arms out, and the gentleman elbowed me across the chest.”

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There were other confrontations on 1st Street as a couple hundred police supporters, including off-duty LAPD officers, held their rally “All Lives Matter,” in response to the “Black Lives Matter” protests and the growing backlash to police shootings of black men all over the country.

Keith Hardine touted a sign as he stood with the police supporters: “It’s good to know there are people that so support the police, including people of color, like myself…y’know, in Los Angeles. I grew up in South Central, so I know all about the city. I know about the troubles and the different problems.”

LAPD told Mills their job is challenging and that dealing with detractors is part of it.

Mills spoke to LAPD Motor Officer Terry Turner, who’s also African-American, about the rally: “And we have to stand there and listen to that rhetoric across the street, not that they don’t have a right to protest, but we’re just here to let people know that our lives matter, too, and we need the support.”

The rally was organized in the wake of an execution-style shooting of two officers in New York City on Dec. 20.

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Meanwhile, dozens of protesters decrying police tactics rallied in Long Beach, near the intersection of Anaheim Street and Chestnut Avenue, not far from where Donte Jordan was killed in an officer-involved shooting in November 2013. Members of Jordan’s family were among the protesters.