Spokesman Sgt. Sammy Morris tells WEWS-TV that about 61 officers took part in the 25-minute chase on Nov. 29.
By earlier accounts, at least 30 patrol cars were involved, including Cleveland and East Cleveland police, sheriff's deputies and state troopers.
Some community leaders called the shootings a racially motivated execution of two people with no evidence they were armed. It's unclear why the driver didn't stop.
Some officers thought the two people in the car were armed, but no weapon or shell casings were found.
The police union says the shootings were justified because the driver tried to ram an officer.