The first measurement of the lifetime of the doubly charmed baryon $Xi_{cc}^{++}$ is presented, with the signal reconstructed in the final state $Lambda_c^+ K^- pi^+ pi^+$. The data sample used corresponds to an integrated luminosity of $1.7,mathrm{fb}^{-1}$, collected by the LHCb experiment in proton-proton collisions at a centre-of-mass energy of $13mathrm{,Tekern -0.1em V}$. The $Xi_{cc}^{++}$ lifetime is measured to be $0.256,^{+0.024}_{-0.022}{,rm (stat),} pm 0.014 {,rm(syst)}mathrm{,ps}$.
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