The magnetic field of a bar magnet is exactly that of any other dipole, where the lines of magnetic field curl around from the North pole to the South pole.

If a bar-shaped permanent magnet is free to rotate, one end points north (north pole of magnet). An object that contains Fe is not by itself magnetized, it can be attracted by either the north or south pole of permanent magnet. A bar magnet sets up a magnetic field in the space around it and a second body responds to that field.

For a bar magnet, the magnetic field lines form closed loops, extending from the north pole to the south pole. When two bar magnets are brought close to each other, their magnetic lines of force interact with each other and get modified to point in the direction of the resultant magnetic force (field).