The LHCb experiment is well adapted to indirect searches of new physics and more specifically to some SuperSymmetric signatures. In this paper, some studies performed by the LHCb collaboration on such signatures are presented, involving a $B^0_{(s)}$ meson decay in rare channels like $B^0_{(s)}\rightarrow\mu^+\mu^-$ and $B^0_{(s)}\rightarrow\tau^+\tau^-$ processes, in radiative decays with $b\rightarrow s\gamma$ transitions, or leading to a four-muon final state. The recently confirmed $\Sigma^+$ decay in $p\mu^+\mu^-$ is mentioned and the results of the search for an intermediate resonance are also given. Finally, some long lived and charged massive particle searches are described.