Factual error: Secretariat is training at the track but yet doesn't have his Jockey Club papers, and still without a name. No track lets you on without papers in the race office.
Factual error: When Secretariat crosses the finish line, that finish line pole is not from Belmont, that finish line pole is from Keeneland.
Continuity mistake: While in the stable, Penny Chenery asks Miss Ham to step outside so she can talk to trainer Earl Jensen privately. Miss Ham exits out the stable door, the inside shot shows nothing but a row of windows to the left of the stable doorway. When Miss Ham hides just outside the same stable doorway to eavesdrop, there are no windows, and only equipment and hay hanging from the doorway. (00:11:30)