Killers of the Flower Moon and Poor Things are also among the contenders, with seven nominations each.
Emma Stone, Leonardo DiCaprio, Cillian Murphy and Da’Vine Joy Randolph are among the acting nominees.
The ceremony will take place in Los Angeles on 7 January.
Succession leads the TV nominations with nine in total, including best TV drama series.
Only Murders in the Building, The Diplomat, The Morning Show and The Crown are among other TV shows to be recognised.
South Korean film Past Lives is the most nominated non-English language film with a total of five nominations.
Barbie’s nine nominations include Margot Robbie as best actress in a musical or comedy, Ryan Gosling for best supporting actor, and Greta Gerwig for best director.
Three of Barbie’s nine nominations are for best original song – namely Dance The Night by Dua Lipa, I’m Just Ken by Ryan Gosling and What Was I Made For? by Billie Eilish.
Oppenheimer is nominated for cinematic and box office achievement – a new category introduced for the 2024 ceremony which aims to give more recognition to films popular with the public.
Christopher Nolan is nominated for best director, while Emily Blunt has also been nominated for her supporting role in the film.
Cillian Murphy is one of the six nominees for best actor in a drama for his role in the biographical movie about J Robert Oppenheimer. Others nominated in the category include Bradley Cooper in Maestro, Colman Domingo in Rusin and Andrew Scott in All of Us Strangers, which is set to be released in January.
In the TV categories, Elizabeth Debicki in The Crown, Rosamund Pike in Saltburn and Meryl Streep for her role in Only Murders in the Building have all been nominated for best supporting roles.
With 33 nominations, Streep is the record holder for the most Golden Globe nominations.
Taylor Swift has also been received her fifth nomination, this time in the new box office category, for Taylor Swift: The Eras Tour. Her previous nominations were all for best original song.
It is the first time the box office achievement award has run and other films in the running include Guardians of the Galaxy Vol 3. and Mission: Impossible – Dead Reckoning Part One.
The other newly added category for 2024 is best performance in stand-up comedy. Ricky Gervais, Trevor Noah and Amy Schumer are among nominees.
By distributor, Netflix are leading the nominations with 28 in total, 13 for film and 15 for television shows. HBO l Max have the most TV nominations with 17 in total.
