They've been together for a while now, but they're deliberately keeping it out of the spotlight.

Chris Martin and girlfriend Dakota Johnson attempted to go unnoticed while grocery shopping in Malibu this weekend, but it didn't work because we caught them as they made their way to the car.

The two have been dating for roughly six months, and the Coldplay rocker has already met her famous parents Melanie Griffith and Don Johnson. Griffith has publicly said she "adores" the British hunk, while her actor ex also gives his seal of approval.

The musician has had his share of high profile romances, so perhaps he's learned his lesson on being so public with his personal life? He was married to Gwyneth Paltrow before they consciously uncoupled, and then he moved on with Jennifer Lawrence.

They certainly make a cute pair!