The racing of horses over open country, or over fences(noun)
Athletics over hurdles and a water jump(noun)
Wiktionary.org : Text is available under the Creative Commons Attribution-ShareAlike License
Use "steeplechasing" in a sentence
"NSA-sanctioned steeplechasing and all kinds of kid and amateur races."
"The evidence of recent Nationals suggests that seven-year-olds, who lack experience of steeplechasing, have just a 33% chance of keeping their rider in the saddle throughout."
"This story of enterprise and togetherness is from the top drawer of steeplechasing yarns."