  While a typical material exhibits field induced currents only at the
boundary, a uniform out-of-plane magnetic field applied to two mutually rotated
layers of graphene is shown to result in an ordered array of permanent current
loops throughout the material. Each current loop consists of an interlayer
current flowing through the open AA stacked regions of the moir\'e created by
rotation, which then flows back through the neighboring AB regions to form a
circuit, with significant current strength even at small fields. Similar
moir\'e ordered arrays of current loops are also shown to exist in
non-equilibrium transport states, where they manifest as current back flowing
against the applied bias in the device. Such current loops thus represent an
intrinsic feature of the twist bilayer in conditions of broken time reversal
symmetry, and exist both as a low field imprint of the moir\'e lattice on
Landau physics, and as measurable moir\'e scale current configurations in
transport states.
