He began his international career at the 1998 World Junior Championships in Athletics, and finishing in 17th place at his first major event – the 2002 European Athletics Championships. He finished ninth in the men's 20 km race at the 2006 IAAF World Race Walking Cup, but set a Norwegian record of 1:20:34 in the process. He was one of the top performers on the circuit in 2007 and finished second in the rankings in the IAAF World Race Walking Challenge that year. Tysse improved upon his past performance, finishing in sixth place at the 2008 IAAF World Race Walking Cup, and he also improved his national mark to 1:19:11.