Smitten Mischa Barton and her model beau James Abercrombie (who is heir to a whopping $574m fortune) prove romance is still going strong... as they step out hand-in-hand in New York

They have been dating for several months now, after first meeting at a party in Los Angeles back in May. 

And proving their romance is still going from strength to strength, Mischa Barton, 31, and her Australian model beau James Abercrombie put on a smitten display as they stepped out in New York on Tuesday. 

The couple were spotted hand-in-hand as they made their way through downtown Manhattan - James is the son of Australia's richest businessman  Andrew Abercrombie, who this year was reported to be worth $574m according to the AFR Rich List.

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Staying close: Mischa Barton and Australian model James Abercrombie, who've been dating since May, put on a smitten display as they stepped out in New York on Tuesday night

Staying close: Mischa Barton and Australian model James Abercrombie, who've been dating since May, put on a smitten display as they stepped out in New York on Tuesday night

James' father is a former politician and chairman of successful company FlexiGroup.

He seemed perfectly content and at ease alongside girlfriend Mischa, while sporting grey chinos with black loafers and a lightweight pale jacket over a green t-shirt. 

Mischa, meanwhile, cut a chic appearance in black leggings, a flared skirt, and ankle boots as she bundled up in a black coat, complete witha fur accent, and fedora hat. 

She wore her short blonde hair down, and highlighted her complexion with some edgy eyeliner and shiny gloss across her lips. 

The beauty was also seen walking her pet pooches, keeping the chill at bay as she wrapped up in the warm button-up coat while leading the way for her canines. 

Dating: The actress, 31, and the son of one of Australia's richest businessmen appear to have found love as James seeks to build his fledgling modeling career stateside

Dating: The actress, 31, and the son of one of Australia's richest businessmen appear to have found love as James seeks to build his fledgling modeling career stateside

Casual: The model wore grey chinos with black loafers and a lightweight pale jacket over a green t-shirt - he kept sunglasses on and carried a winter coat as he and Mischa ran errands

Casual: The model wore grey chinos with black loafers and a lightweight pale jacket over a green t-shirt - he kept sunglasses on and carried a winter coat as he and Mischa ran errands

The former O.C. actress is now dating James who appears to lead a high-flying lifestyle, judging by snaps published to his Instagram page, which is now private, and show depict a private jet in Cannes, a luxury yacht in Italy and his Aspen holiday digs. 

He has been basing himself increasingly in the USA as he seeks to build his modeling career. 

James' Melbourne-based agency Bucknall Management/ FRM Model Management had confirmed his relationship with Mischa in June.

'James is currently dating well known actress Mischa Barton,' FRM Model Management director Stephen Bucknall (who discovered the budding male model) confirmed.

Back in black: The former star of The O.C. was bundled up in a black coat and hat with black leggings, flared skirt, and ankle boots 

Back in black: The former star of The O.C. was bundled up in a black coat and hat with black leggings, flared skirt, and ankle boots 

Her babies: She was seen earlier in the day walking her two precious pooches
Her babies: She was seen earlier in the day walking her two precious pooches

Her babies: She was seen earlier in the day walking her two precious pooches 

'He was recently on a ski trip to Aspen, after which he headed to Los Angeles- where we are currently making appointments for him to seek representation.

'James met Mischa at a party in Los Angeles just on a month ago. They then headed off on a small trip to France,' the agency revealed.

'He is now back in Los Angeles and they are spending a lot of time together.' 

The model's parents - Andrew and his wife Shadda - are the proud owners of two mansions in Victoria - one in the wealthy suburb of Toorak purchased for $14m in 2007, as well as a holiday home in the exclusive resort town of Portsea, which is currently on the market for $5m.

They also own an apartment inside the swanky Alto Villas building in Mt Buller, a luxury resort village in eastern Victoria. The Abercrombie family made headlines last year when thieves stole more than $1m worth of jewels from their lavish Melbourne home.

Smitten: The former O.C. actress is now dating James who appears to lead a high-flying lifestyle, judging by snaps published to his Instagram page, which is now private, and show depict a private jet in Cannes, a luxury yacht in Italy and his Aspen holiday digs

Smitten: The former O.C. actress is now dating James who appears to lead a high-flying lifestyle, judging by snaps published to his Instagram page, which is now private, and show depict a private jet in Cannes, a luxury yacht in Italy and his Aspen holiday digs

Loved-up: James' Melbourne-based agency Bucknall Management/ FRM Model Management had confirmed his relationship with Mischa in June
Teasing: Back in June, they revealed: 'James met Mischa at a party in Los Angeles just a month ago. They then headed off on a small trip to France'

Loved-up: James' Melbourne-based agency Bucknall Management/ FRM Model Management had confirmed his relationship with Mischa in June

Drama: Former child star Mischa has been dealing with multiple court cases- including her 'revenge porn' case against her ex-boyfriends amid her new romance

Drama: Former child star Mischa has been dealing with multiple court cases- including her 'revenge porn' case against her ex-boyfriends amid her new romance

Meanwhile, former child star Mischa has been dealing with multiple court cases- including her 'revenge porn' case against her ex-boyfriends.

Earlier this year, DailyMail.com revealed that Mischa had been granted an extension to restraining orders against two former lovers, who she believes are trying to sell an explicit sex tape of her.

The footage was being touted to online porn companies, with a number of industry giants still considering the offer.

At the start of the year, the actress had also endured a highly publicized 'meltdown', which caused two of her neighbors to call the cops after Mischa allegedly threatened to 'kill herself'. 

Woes: Earlier this year, DailyMail.com revealed that Mischa had been granted an extension to restraining orders against two former lovers, who she believes are trying to sell an explicit sex tape of her

Woes: Earlier this year, DailyMail.com revealed that Mischa had been granted an extension to restraining orders against two former lovers, who she believes are trying to sell an explicit sex tape of her

Trouble: The footage was being touted to online porn companies, with a number of industry giants still considering the offer 

Trouble: The footage was being touted to online porn companies, with a number of industry giants still considering the offer