The heartwarming post quickly racked up more than 91,000 likes and hundreds of comments from fans, wishing Sunday Rose a happy birthday.
Nicole is also mum to adopted children Isabella and Connor from her first marriage to Hollywood actor Tom Cruise.
On Saturday, the 51-year-old Oscar-winner shared a beautiful photo with husband Keith Urban from the Tuileries Gardens in the City of Light.
Nicole's Big Little Lies co-star Laura Dern left a string of love hearts in the comment section, while dozens of fans called the pair "the cutest couple on earth".
Last week, Nicole took to Instagram to share a behind the scenes look from the set of her HBO smash hit.
The colourful shot showed some of the Big Little Lies cast - including Reese Witherspoon, Zoe Kravitz, James Stupper and Shailene Woodley - dressed in disco themed ensembles.