Every magnet has two ends called poles, a north pole and a south pole. The magnetic force is strongest at the poles. Two unlike poles, a north and a south, attract each other. Two like poles, two norths or two souths, repel each other. You can test this by hanging a bar magnet from a thread and bringing a second magnet close to one end. The hanging magnet swings towards the second magnet or away from it.
The magnetic field around a bar magnet is drawn as field lines. They leave the north pole and curve round to enter the south pole. Between two unlike poles the lines run straight across from one magnet to the other, which shows attraction. Between two like poles the lines are squeezed apart and do not join up, which shows repulsion.
Attraction and repulsion are both non-contact forces. The magnets push or pull each other without touching.
