Baby love!

Sienna Miller and fiance Tom Sturridge stepped out in London on Monday morning for some breakfast with their one-month-old daughter, Marlowe.

PHOTOS: Sienna's chic maternity style

The happy new parents shared a romantic kiss -- and gushed over their beautiful baby girl -- while enjoying their meal.

PHOTOS: More Hollywood moms

Sturridge, 26, had Marlowe strapped securely to his chest in a baby carrier while sitting at the table reading a newspaper. Miller, 30, checked on her sleeping daughter between bites. The couple both wore sunglasses during breakfast, and Sturridge also wore a hat.

PHOTOS: Best dressed British stars

The British stars have been dating for over a year and Marlowe is the first child for each.

Us Weekly spoke with the new mom earlier this month via telephone at HBO's Summer Television Association panel in Beverly Hills. "She's so cute," The Girl star said of Marlowe. "She's screaming upstairs. My brain doesn't work."

This article originally appeared on PICS: Sienna Miller, Tom Sturridge Snuggle Baby Marlowe