The actress - who married the Coldplay frontman in December 2003 - told Good Housekeeping that the couple work hard to maintain good communication in order to overcome the difficulties in their relationship.
"Marriage is hard. Chris and I have had our ups and downs, big time," she explained.
"Marriage is way more complicated than just who gets to control the remote. But hopefully we keep heading in the same direction and getting through the obstacles."
Paltrow also revealed that she and Martin purposely avoid paparazzi by going out separately, adding: "If I'm looking grumpy in public or if Chris and I leave a restaurant separately, it's only because we don't want to encourage photographers."
The pair are parents to 6-year-old Apple and 4-year-old Moses.
