In some switching circuits employing tunnel diodes, it is found that a stationary relaxation oscillation may be obtained by triggering methods. Triggered quasi-sinusoidal oscillations have been discussed by some authors for the development of digital computers, but the region of biasing currents in which the triggered oscillations occur is not wide enough for practical case.The purpose of this paper is to solve the above mentioned problem: a triggered oscillation circuit utilizing tunnel diodes which is biased non-linearly is proposed. The working properties of such a tunnel diode circuit have been investigated by point transformation and graphical methods. It is found that the operating region in which bistable states exist is wide enough. A simple expression for the normalized minimum biasing current θmin of bistable operation in obtained; θmin=(F(μ)-UF)/(F(μ)-1)≈1-2(UF-1)μ. The experimental results are in accord with the theoretical analyses. Some more complex circuits for triggered oscillation are also suggested.