He won the silver medal in the junior cross country at the 2004 world championships in Les Gets, France.

At the 2005 world championships he won the bronze medal in the cross country team relay, riding the men's under-23 leg for the French team.

Tempier represented France in the mountain bike cross country at the 2012 Summer Olympics and finished in 11th place, 2:23 behind the winner.

[4] He was on the start list for the 2018 Cross-country European Championship and he finished 6th.

The following year he won the bronze medal at the 2019 World Championships in Mont-Sainte Anne, Canada.