Eliza Taylor and Bob are both from Victoria, Australia.In June 2019, Morley announced his marriage to fellow cast member Eliza Taylor. On February 21 2013, The Hollywood Reporter reported that Morley had been cast as Bellamy in The CW's The 100. Morley began filming a role for the drama The White City in June 2013. He returned to the set of Neighbours in early June 2012. Morley took a ten-week break from the soap to appear in Blinder, a feature film about Australian rules football. Morley and Mason's characters formed the show's first gay couple.

In June 2011, it was announced that Morley had joined the cast of Neighbours as Aidan Foster, a love interest for Chris Pappas (James Mason). In 2011, he starred in the Australian thriller Road Train. The following year, Morley featured in season four of Sea Patrol. In 2009, he starred as Lorca in the play Palindrome for a Dead Poet. Morley was nominated for Cleo magazine's 'Bachelor of the Year' award. He went on to appear in the 2008 Nine Network's Scorched. In 2008, Morley departed Home and Away and he was cast as Tony Moretti in the Nine Network's 2008 action drama series The Strip. On June 12, 2007, he was voted off after six weeks on the show-even though he received his highest score that night. Morley appeared in the second series of the Australian celebrity singing competition series It Takes Two from May 2007. Morley joined the cast of Home and Away as Drew Curtis in 2006. He also appeared in the 2005 low-budget horror film Dead Harvest and as an extra in the soap opera Neighbours That same year he got a part in Angels with Dirty Faces and his performance brought him to the attention of the Home and Away casting directors. Morley began his career by acting in various university theater productions, short films and plays. A year later, Morley decided to enroll in Creative Arts at the La Trobe University and he got himself an agent. After he completed year 12, Morley moved to Melbourne and began an engineering degree. Morley told The Age that he was a naughty student and did not take things seriously.

He studied drama at school all the way through to Year 11 until he was asked not to continue. Morley grew up on a farm in Kyneton, a small country town in Victoria. Morley has two older sisters and one older brother. Robert 'Bob' Morley is the son of a Filipino mother and an Australian-Irish father, who died when he was young.

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