head number
The wagering number for the horse or, in the case of a coupled entry, the wagering number of all horses that make up the coupled entry.
head of the stretch
Beginning of the straight run to the finish line.
heat
A single race or a single trial of a race that is one of a series of races that make up an event (race).
heavy
Wettest possible condition of a turf course; not usually found in North America.
high weight
Highest weight assigned or carried in a race.
hobbles
A leg harness used for controlling the gait of a pacer or trotter.