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Simon Cowell and his baby mama Lauren Silverman screaming at each other in the back of their SUV in New York City

Simon Cowell and his baby mama Lauren Silverman can be seen arguing in the back of a SUV in New York City.

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Simon Cowell and his baby mama Lauren Silverman screaming at each other in the back of their SUV in New York City

It's their first public spat since coming cleaning about their relationship in August.

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Simon Cowell and his baby mama Lauren Silverman screaming at each other in the back of their SUV in New York City

A frustrated Cowell lets his hands talk for him, much like he did as a judge on American Idol.

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Simon Cowell is seen puffing on a cigarette after arguing with his baby mama.

Simon Cowell calms himself down with a cigarette after arguing with his girl.

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Simon Cowell having a cig after fighting with his girlfriend

And he takes a stroll in Soho.

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Simon Cowell and his baby mama Lauren Silverman screaming at each other in the back of their SUV in New York City

The newly public couple quickly bounced back from their tiff.

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Simon Cowell and his baby mama Lauren Silverman screaming at each other in the back of their SUV in New York City

Hours later Silverman walks the Upper East Side with her man and a smile on her face.

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Lauren Silverman out and about after meeting with baby-dady Simon Cowell.

Cowell is expecting his first child with socialite Lauren Silverman, who is now about 17 weeks along.

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SIMON COWELL LAUREN SILVERMAN WITH HUSBAND ANDREW

Lauren (left) was married to real estate mogul Andrew Silverman (middle) until mid-August. News first broke of his wife's affair with good friend Cowell in July. Here they're all seen vacationing together in St. Bart's January 2012.

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Simon Cowell Hangs Out With Friends In St. Tropez

Cowell spotted on his boat with new baby mama Lauren Silverman and her ex-husband in St. Tropez, France in August 2011.

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Simon Cowell Hangs Out With Friends In St. Tropez

Silverman, 36, on Simon's super yacht