A magnetic field is defined as a region in which a magnetic force can be detected. Magnetic fields are produced by the motion of electric charge. Likewise a wire with current passing through it creates a magnetic field because charge is moving in the wire. Bar magnets, however, produce a magnetic field whether they are moving or not. Bar magnets do in fact consist of moving charge which creates a magnetic field.
Atoms are inside the magnet, and electrons are inside the atoms.
The moving electrons in the atoms of the magnet are what cause the magnetic field. Magnetic substances, on the other hand, display a net magnetic field produced by the order of their individual atomic fields. Magnetic fields can be visualized by using lines of flux. Such a monopoled magnet does not actually exist, but we physicists like to pretend. Using the north-monopole, we can map out lines of flux for a magnetic source by plotting the paths a monopole would take when released into the magnetic field.