The newsmagazine published its annual list of the most influential people in the American world on Thursday and the three stars, along with "Guardians of the Galaxy" actor Chris Pratt and director Lee Daniels, have made the cut for 2015.
Academy Award 2015 winner, Julianne Moore is also in the list of most influential people.
"American Sniper" star Cooper felt honoured to be included in the list, and said: "It's a real big thing to be included in anything that has to do with TIME magazine, let alone the 100 list. It's a huge privilege for me, and if it does anything at all it helps spread awareness for veterans' issues."
The 40-year-old actor's friend Oliver Platt profiled him for the publication, writing the star's main priorities are "his dog Charlotte, the Philadelphia Eagles and showing up for people he cares about".
Meanwhile, filmmaker Daniels was praised by his "Butler" co-star Oprah Winfrey.
She said: "It seems like there is nothing Lee can't do."
For Daniels, his placing on the list shows a big status shift from the way he was treated as a child.
He said: "I learned to not go to the bathroom from the time that I was in kindergarten through sixth grade because I was too afraid to go into the bathroom. That's how bullied I was."
Emma Watson who is a strong feminist also made it to the list.