Dystopian saga "The Handmaid's Tale" and drama "Big Little Lies" won the top television honors at Sunday's Golden Globes awards, where stories about women led a ceremony dominated by the Time's Up movement to fight workplace sexual harassment.
Moss, in her acceptance speech, quoted novelist Margaret Atwood, whose book provides the basis for the series.
"We sat at a table, we pledged allegiance to each other and commitment to each other and this is ours to share", she said.
"Nicole, I love you".
Kidman started by thanking her co-stars in the hit show, Reese Witherspoon, Shailene Woodley, Laura Dern and Zoe Kravitz.
Dressed in black in solidarity with victims of sexual assault and harassment, she dedicated the award to her daughters and cast members - saying "wow, the power of women" - and her mother, who "was an advocate for the women's movement when I was growing up". "It's true. I love you so much." she addressed him directly from the stage.
"Big Little Lies" cleaned up at the Emmys, asserting HBO's continued dominance in prestige television.
She said: "This character that I played represents something that is the centre of our conversation right now - abuse". That included best drama series and best actress in a drama series for Hulu's The Handmaid's Tale and its star Elisabeth Moss, best comedy series and best actress in a comedy series for Amazon's The Marvelous Mrs. Maisel and its star Rachel Brosnahan, as well as best actor in a comedy series for Aziz Ansari of Netflix's Master of None. "My achievements are her achievements", stated Kidman.
Hulu's "The Handmaid's Tale", another big victor at last year's Emmys, won for best drama.
"This is from Margaret Atwood: "We were the people who were not in the papers". It gave us more freedom.
"We no longer live in the blank white spaces at the edges of print. We went, oh my gosh, we gotta to scramble and try and get this together if we want to to do a season two", she said.
Actor Sam Rockwell took home the award for Best Supporting Actor in a Motion Picture category for his portrayal as Jason Dixon in "Three Billboards Outside of Ebbing Missouri".