Here’s my take on this, as it’s a story with a lot of public history.
The most well-known situation was the 2003 case in Colorado. While the legal proceedings were centered on a different charge, Kobe Bryant publicly admitted to having an affair. He held a press conference with his wife, Vanessa, by his side and openly stated that he had committed adultery. This is the primary confirmed instance that anchors most of these discussions.
Beyond that specific event, their marriage was clearly complex and under intense scrutiny. They did face other challenges, including Vanessa filing for divorce in 2011, though they later reconciled. While various other rumors circulated over the years, the 2003 incident is the only one Kobe publicly acknowledged himself. It’s a case of one confirmed event versus years of tabloid speculation.