In recent weeks, the Oscar winner has been linked to British model Louis Dowler – and this week she was photographed by his side as the pair exercised together in New York.
His impressive torso on show, handsome Louis jogged alongside the leading lady while she went for a cycle ride with her six-year-old son Joe.
The couple are said to have become inseparable in recent months after they were introduced by mutual friends at a party.
A source recently told a British newspaper: "They have been on lots of dates and get on really well. Its early days for them but they enjoy each other's company."
"Louis has a great sense of humour and really is a lovely guy, he loves to surf and he's really quite engaging and very down-to-earth."
The Cornwall-born 34 year old, who has a home in London and recently lived in Southampton, has appeared in several high-profile campaigns, modelling for Burberry and Paco Rabanne.
The burgeoning romance he is said to be enjoying with Kate comes five months after she announced her split from husband Sam Mendes after seven years.
In a statement released after the 2010 Academy Awards, which Kate attended on her own, the couple revealed that they were ending their marriage, but said "both parties were fully committed to the future joint parenting of their children".
Kate and Sam welcomed their son Joe in November 2003, six months after their Caribbean wedding.
The Reading-born beauty was previously married to Jim Threapleton, father of her nine-year-old daughter Mia, for three years.