  We present a measurement of top quark polarization in $t\bar{t}$ pair
production in $p\bar{p}$ collisions at $\sqrt{s}=1.96$ TeV using data
corresponding to 9.7 fb$^{-1}$ of integrated luminosity recorded with the D0
detector at the Fermilab Tevatron Collider. We consider final states containing
a lepton and at least three jets. The polarization is measured through the
distribution of lepton angles along three axes: the beam axis, the helicity
axis, and the transverse axis normal to the $t\bar{t}$ production plane. This
is the first measurement of top quark polarization at Tevatron using lepton+jet
final states and the first measurement of the transverse polarization in
$t\bar{t}$ production. The observed distributions are consistent with standard
model predictions of nearly no polarization.
