Jan Ziobro was born in Rabka Zdrój, Poland and raised in Spytkowice. He has a sister and four brothers. His brother-in-law is former ski jumper Krystian Długopolski. Ziobro works as a painter for his family's furniture company, Meble Ziobro, which sponsors him and Czech Jakub Janda. In August 2013, he proposed to his girlfriend Angelika. Their daughter, Wiwiana, was born on January 16, 2014. On September 20, 2014 he married to Angelika Kowalczyk in private ceremony in Spytkowice. In October 2016 his wife gave birth to their second daughter named Sonia.
Jan Ziobro during qualification round of FIS Ski Jumping World Cup in Zakopane, 2012.
He won his first World Cup event on December 21, 2013 in Engelberg, while his countryman Kamil Stoch finished second. On that day he also equaled the hill's record with his jump of 141 meters. A day later, Ziobro landed on the podium again, finishing third as Stoch won. It was the first time in ski jumping history that two Poles finished on the podium in two consecutive contests.