The 32-year-old actor got into a relationship with Piek in 2011. They made their red carpet debut at the Cannes Film Festival in May last year.
"It happened a while ago. It was a mutual call. They both needed their space. She has been very busy with her modelling work and travelling. He's got 'Star Trek' and his other projects are keeping him busy," femalefirst.co.uk quoted a source as saying.
In the past, Pine had been in relationships with actresses Beau Garrett, Olivia Munn and TV presenter Audrina Patridge.