They have both remained tight-lipped about their relationship but it looks like Ruth Negga and Dominic Cooper are going strong as they stepped out to buy some groceries in LA.

The couple have been together for four years after they played lovers in the dramatic play Phedre in the National Theatre in London in 2009.

Both Ruth (32) and Dominic have stayed silent about their romance, only confirming they were dating after they were photographed kissing on a beach in Italy in 2010.

The 36-year-old actor hardly ever talks about his girlfriend. During an interview with Elle Magazine earlier this year, he remained closed-lipped on the issues of his personal life.

"I don't want any of my personal stuff out," said the Dracula Untold actor.

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Dominic previously dated his Mamma Mia! co-star Amanda Seyfried, but they broke up in 2010 when Dominic allegedly became romantically involved with Irish/Ethiopian actress Negga, his then on-stage co-star.

However, for Dominic and Ruth it looks like the couple that works together stays together as the pair have recently wrapped up filming on their new movie Warcraft - which is based on the popular fantasy video game series.

The characters are divided into two warring tribes - the Alliance, whose race include humans, dwarves, night elves and gnomes, and the Horde, which includes orcs, trolls and blood elves.

Negga plays Lady Taria - on the Alliance side - the royal Queen of Stormwind and the great love of King Llane, played by Cooper. The epic fantasy also stars Robin Thicke's ex-wife Paula Patton and is due out in March, 2016.

hnews@herald.ie