We set constraints on the trilinear Higgs boson self-coupling, $lambda_3$, by combining the information coming from the $W$ mass and leptonic effective Weinberg angle, electroweak precision observables, with the single Higgs boson analyses targeting the $gamma gamma,, ZZ^*,, WW^*, ,tau^+ tau^-$ and $bar{b} b$ decay channels and the double Higgs boson analyses in the $bbar{b}bbar{b}, , bbar{b}b tau^+ tau^-$ and $bbar{b}b gamma gamma$ decay channels, performed by the ATLAS collaboration. With the assumption that the new physics affects only the Higgs potential, values outside the interval $ -1.8, lambda_3^{rm SM} < lambda_3 < 9.2 , lambda_3^{rm SM}$ are excluded at $95%$ confidence level. With respect to similar analyses that do not include the information coming from the electroweak precision observables our analysis shows a stronger constraint on both positive and negative values of $lambda_3$.