The list, made up of prominent people from a wide variety of fields, seeks to recognize the world's "most influential titans, pioneers, artists, icons, and leaders." Time features a short essay on each one.
"Tim is unwavering in his support of an individual's right to privacy and is not only embracing equality and LGBT rights but advocating for change through his words and actions," said Democratic Georgia congressman John Lewis wrote of Cook.
"Having someone as visible and strong as Laverne Cox to look up to is inspiring," said 14-year-old trans woman and advocate Jazz Jennings on Cox. "She's done so many amazing things -- not just acting on Orange Is the New Black but also loving herself enough to share her story with the world. She's a pioneer for our community."
Cook and Cox weren't the only LGBT people honored by Time. Also included in this year's batch of influencers were gay fashion designer Alexander Wang and lesbian U.S. soccer star Abby Wambach.
"Everyone loves being around Alex -- he's full of life and a loving friend," said supermodel Karlie Kloss of Wang.
"Whether inspiring her team on the field or taking on important issues off it, Abby uses her passion and fearlessness to lead by example," said fellow female soccer player and Olympic gold medalist Mia Hamm of Wambach.
Pope Francis and Vladimir Putin (both past Advocate cover subjects) were also mentioned in Time's list, along with Supreme Court Justice Ruth Bader Ginsburg, Transparent creator Jill Soloway, and Broadway star and straight ally Audra McDonald.
To see Time's full list of the 100 Most Influential People of 2015, click here.