  We determine when two almost automorphisms of a regular tree are conjugate.
This is done by combining the classification of conjugacy classes in the
automorphism group of a level-homogeneous tree by Gawron, Nekrashevych and
Sushchansky and the solution of the conjugacy problem in Thompson's $V$ by Belk
and Matucci. We also analyze dynamics of tree almost automorphisms.
