We present a measurement of top quark polarization in
t
¯
t
pair production in
p
¯
p
collisions at
√
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
¯
t
production plane. This is the first measurement of top quark polarization at the Tevatron using
lepton
+
jet
final states and the first measurement of the transverse polarization in
t
¯
t
production. The observed distributions are consistent with standard model predictions of nearly no polarization.