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The polarization of the $\Upsilon(1S)$, $\Upsilon(2S)$ and $\Upsilon(3S)$mesons, produced in $pp$ collisions at centre-of-mass energies $\sqrt{s}$=7and 8TeV, is measured using data samples collected by the LHCb experiment,corresponding to integrated luminosities of 1 and 2fb$^{-1}$, respectively. Themeasurements are performed in three polarization frames, using$\Upsilon\to\mu^+\mu^-$ decays in the kinematic region of the transversemomentum $p_{T}(\Upsilon)<30GeV/c$, and rapidity $2.2<y(\Upsilon)<4.5$. Nolarge polarization is observed.

Measurement of the $\Upsilon$ polarizations in $pp$ collisions at $\sqrt{s}$=7 and 8TeV