Fletcher played for the Denver Broncos for his entire NFL career from 1985 to 1995. In his 11-year career he recorded a Denver Broncos record 97.5 sacks, two interceptions, and 10 fumble recoveries. He shared the NFL record (DeMarcus Ware) for most consecutive games with a sack with 10 until it was broken by Chris Jones of the Kansas City Chiefs in 2018. His four sacks against Minnesota on Nov 4, 1990 tied a franchise record.
In May 2016, Simon Fletcher was inducted into the Broncos' Ring of Fame, along with Denver greats Jason Elam and John Lynch. The three inductees were the 29th, 30th, and 31st members of Denver's Ring of Fame.[2]