The sport of siting on the back of a horse while controlling its movements(noun)
Travel by being carried on horseback(noun)
WordNet. Princeton University. 2010.
Use "horseback riding" in a sentence
"Yes, Jalil admitted, he had been horseback riding in Takht-e-Safar, but, when they gave him the news, he had not shrugged."
"They could see officers on horseback riding towards the old walls, their wives and children walked there, but the troops went on to the Alberche and camped in the cork groves that sloped down to the shallow river."
""He was in Takht-e-Safar, horseback riding with his precious friends.""