"Kirchhoff's Junction Rule" and "Kirchhoff's Current Law" are the same thing.
The rule is that the amount of current flowing IN to any point in a circuit is equal to the amount of current flowing OUT of the same point. EVEN if the point is a complicated 'junction' with a thousand different paths in and out of it !
This whole idea is pretty obvious if you understand the law of Conservation of Electric Charge. Charge can't be created out of nothing, and it can't disappear or be destroyed. So whenever you see charge appear, it had to come from somewhere; and whenever you see charge disappear, it had to go somewhere.
That's exactly what's happening at the 'junction' in an electric circuit. Current into the junction brings charge into it. The charge can't pile up there, and it can't just disappear, so it has to leave the junction in a current that's exactly the same size as the current that brought it there.
