Sam Rockwell won the second prize of the night for best supporting actor in a movie for Three Billboards Outside Ebbing, Missouri, while Rachel Brosnahan won the best actress in a TV comedy prize for The Marvellous Mrs Maisel.
"Thank you so much", Kidman exclaimed.
After a kiss with her husband, she went on stage to say: "Keith Urban, when my cheek is against yours, everything melts away and that is love".
The move provoked immediate criticism on social media, with Twitter user Clay Arnold writing: "Nicole Kidman mentioned two of her children".
The veteran concluded her speech with the following message of gratitude to her co-stars, colleagues and loved ones 'Bless you.
According to an excerpt published by the New York Daily News, Remini shared a vehicle to the airport with Isabella and Connor after Cruise's wedding to Katie Holmes in 2006.
It was a similar turn of events for Laura Dern, who also wowed audiences with her performance in Star Wars: The Last Jedi.
The HBO documentary "Going Clear: Scientology and the Prison of Belief" also alleged that David Miscavige, the leader of Scientology, helped drive a wedge between Kidman and her kids after she and Cruise got divorced.
Daughters Sunday Rose and Faith Margaret were also acknowledge.
She has previously won Golden Globes for her roles in films To Die For, Moulin Rouge and The Hours.
After her big win at the Golden Globes, Kidman celebrated by posting her first Instagram photo - a shot of her shutting down the after-party. "I am so proud of my Big Little Lies family and to have stood with my sisters on such a special night".