Bryant, 41, died on Sunday in a crash close to the city of Calabasas in Los Angeles County, California.
Eight others on board, including his 13-year-old daughter Gianna, also lost their lives.
Following the initial reports of Bryant's passing, athletes and teams from across the world of sport posted their tributes to the Lakers great on social media.
New England Patriots great Brady wrote on his Twitter page: "We miss you already, Kobe."
We miss you already Kobe ❤️❤️🙏🏼🙏🏼— Tom Brady (@TomBrady) January 26, 2020
Patrick Mahomes, another superstar NFL quarterback, said: "Man, not Kobe. Prayers to his family and friends!"
Man not Kobe... Prayers to his family and friends! #RIPMamba— Patrick Mahomes II (@PatrickMahomes) January 26, 2020
Bryant was an Olympic champion like Usain Bolt, the great sprinter, who posted a picture of the former NBA star on his page.
"Still can't believe [it] @kobebryant," he said.
World number one golfer Brooks Koepka posted a lengthy message in memory of his "hero".
"Kobe Bryant was my HERO growing up. Even to this day he was an inspiration to the way I approached things," he wrote, adding: "His mentality motivated me not only in hard times but throughout my whole life. RIP, Kobe."
Kobe Bryant was my HERO growing up. Even to this day he was an inspiration to the way I approached things. I woke up every day and saw this quote every time I opened my phone. His mentality motivated me not only in hard times but throughout my whole life. RIP, Kobe. pic.twitter.com/VtoYenQaYt— Brooks Koepka (@BKoepka) January 26, 2020
Footballer Raheem Sterling said: "Rest easy, legend."
Rest easy Legend 💛💜 pic.twitter.com/a0lWTWacKW— Raheem Sterling (@sterling7) January 26, 2020
Meanwhile, Neymar, who scored twice in Paris Saint-Germain's win over Lille on Sunday, dedicated his second goal to the Lakers legend.
Following his goal, Neymar pays tribute to Kobe Bryant 2️⃣4️⃣ pic.twitter.com/uT1qCTg6Nq— beIN SPORTS USA (@beINSPORTSUSA) January 26, 2020
Drew Brees spoke to ESPN from the Pro Bowl, saying of Bryant: "I had the chance to meet him one time. He was a guy I hoped to have the chance to be around more.
"I had so much respect for him as a competitor. I know he inspired so many people in so many different ways.
"He was one of the great competitors of any generation - not just with sports but the way he approached a lot of things with what he was doing now after basketball.
"I pray for him, I pray for his family. It's a tragic loss."