A product of Klemm Leichtflugzeugbau Gmbh it shared the same single-engine, cantilever low-wing configuration as the earlier machine, the major difference being the introduction of an inverted gull wing.

Probably Klemm's most important type,[1] the fully aerobatic aeroplane was shown for the first time publicly in October 1935 at the international Air Show in Milan and soon found many private buyers.

Powered initially by an 80 hp (60 kW) Hirth HM60R inline,[1] it had fixed undercarriage,[1] mixed wood and fabric covering,[1] and the choice of open or closed cockpit.

[1] An improved Kl 35D, designed as a Luftwaffe trainer, with 105 hp (78 kW) Hirth HM 504A-2 engine and the option of ski or float landing gear, appeared in 1938.

The so-called Gemischtbauweise construction was used: steel for fuselage, wood for wings and tail units and only small quantities of light alloy for linings were used.