The cover, which appears below, sees the band against an overexposed backdrop of yellow and green.
'Settle Down' - out September 17 - marks the group's first single since 2003's 'It's My Life', which trailed their Singles Collection.
The song is expected to premiere on radio in mid-July, followed by the video directed by Sophie Muller, who shot the clip for the group's 1996 signature hit 'Don't Speak'.
The track trails their new album Push and Shove, which follows on September 24 in the UK and a day later in the US. Their last studio LP was 2001's Rock Steady, which sold over seven million copies worldwide.
Watch No Doubt's 'Hella Good' music video below: