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We use latest data from solar system planetary orbital motions to putconstraints on some Galileon-induced precessional effects. Due to theVainshtein mechanism, the Galileon-type spherically symmetric field of amonopole induces a small, screened correction proprtional to \sqrt{r} to itsusual r^-1 Newtonian potential which causes a secular precession of thepericenter of a test particle. In the case of our solar system, latest datafrom Mars allow to constrain the magnitude of such an interaction down to\alpha <= 0.3 level. Another Galileon-type effect which might impact solarsystem dynamics is due to an unscreened constant gradient induced by thepeculiar motion of the Galaxy. The magnitude of such an effect, depending onthe different gravitational binding energies of the Sun and the planets, is \xi<= 0.004 from the latest bounds on the supplementary perihelion precession ofSaturn.

Constraints on Galileon-induced precessions from solar system orbital motions