Zara arrived wearing a cream coat over a black dress paired with ankle boots and a feather-embellished hat. Mike looked smart in a brown suit, blue shirt and printed tie.
The couple recently shared the first picture of Mia on the cover of Hello! magazine. She was no where to be seen on Tuesday. The two-month-old isn't quite old enough for a day out at the races just yet.
Love Zara's style? See more of the royal below: