In 1906 in Zweisimmen and 1907 in Davos Steuri was again the Swiss champion in endurance, whereupon he was asked not to participate in this race to offer other athletes a chance to win.

In 1905 he earned his leader patent, having previously climbed numerous summits, including the Jungfrau, the Eiger, the Finsteraarhorn and the Wetterhorn.

[1] On 10 September 1921 he took part in the first ascent of the Mittellegigrat (the northeast ridge of the Eiger) with the Japanese climber Yuko Maki and fellow guides Fritz Amatter and Samuel Brawand.

[1] On 26 May 1926 Steuri, Prince Chichibu, Walter Amstutz, Arnold Lunn and two others first climbed the Grindelwalder Grünhorn on skis.

[23] Among other famous clients Steuri counted the writer Konrad Falke, whom he guided in September 1907 in the Jungfrau region.

This resulted in Falke's 1909 published book Im Banne der Jungfrau (Under the Spell of the Virgin).

He worked as one of the "Jochführer", the guides who after the construction of the Jungfrau railway were always stationed at Jungfraujoch and led tourists from there to the surrounding peaks.

[1][24] In summer 1938 Steuri led the search party that discovered the body of Italian climber Bartolo Sandri, who had died along with his partner, Mario Menti, in an attempt on the north face of the Eiger.