The body of Engram Lamar Crenshaw, 37, was discovered in the pool behind Smith's home following a party on Sept. 3. Crenshaw was a friend of Smith's, and not affiliated with the team.
A local TV station first reported Crenshaw's cause of death. Fort Bend County Sheriff's Office spokesman Bob Haenel said Tuesday morning that the toxicology report showed Crenshaw's blood-alcohol level was 0.11 percent.
Smith called the drowning "a tragic accident." Haenel says no charges were filed in the case.
The 6-foot-4, 295-pound Smith is playing his eighth NFL season, and third with the Texans.