We report the detection of two very eccentric planets orbiting HD4113 and HD156846 with the CORALIE Echelle spectrograph mounted on the 1.2-m Euler Swiss telescope at La Silla. The first planet, HD4113b, has minimum mass of msini=1.6±0.2 M_ Jup, a period of P=526.59±0.21 days and an eccentricity of e=0.903±0.02. It orbits a metal rich G5V star at a=1.28 AU which displays an additional radial velocity drift of 28 m s^-1/yr observed during 8 years. The combination of the radial-velocity data and

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... he non-detection of any main sequence stellar companion in our high contrast images taken at the VLT with NACO/SDI, characterizes the companion as a probable brown dwarf or as a faint white dwarf. The second planet, HD 156846 b, has minimum mass of msini=10.45±0.05 M_ Jup, a period of P=359.51±0.09 days, an eccentricity of e=0.847±0.002 and is located at a=1.0 AU from its parent star. HD156846 is a metal rich G0 dwarf and is also the primary of a wide binary system (a>250 AU, P>4000 years). Its stellar companion, IDS 17147-1914 B, is a M4 dwarf. The very high eccentricities of both planets can be explained by Kozai oscillations induced by the presence of a third object.