As verbs the difference between boxing and punching
is that
boxing is present participle of lang=en while
punching is present participle of lang=en.
As nouns the difference between boxing and punching
is that
boxing is a sport where two opponents punch each other with gloved fists, the object being to score more points by the end of the match or by knockout, or technical knockout while
punching is an incident in which someone is punched.