branch vs fork

branch and fork both are nouns.

Word	Noun	Adjective	Verb	Adverb
branch	Yes	No	Yes	No
fork	Yes	No	Yes	No

As nouns, fork is a hyponym of branch; that is, fork is a word with a more specific, narrower meaning than branch:

Other hyponyms of branch include bifurcation, brachium, crotch.

As verbs, branch and fork are synonyms defined as:

Other synonyms of branch include furcate, ramify, separate.

branch (noun)	fork (noun)
any projection that is thought to resemble a human arm	the act of branching out or dividing into branches
a division of some larger or more complex organization	a utensil with two or more prongs, used for serving or eating food
a stream or river connected to a larger one	an agricultural tool used for lifting or digging; has a handle and metal prongs
a natural consequence of development	the angle formed by the inner sides of the legs where they join the human trunk
a division of a stem, or secondary stem arising from the main stem of a plant	the region of the angle formed by the junction of two branches
a part of a forked or branching shape

branch (verb)	fork (verb)
divide into two or more branches so as to form a fork	divide into two or more branches so as to form a fork
grow and send out branches or branch-like structures	shape like a fork
	place under attack with one's own pieces, of two enemy pieces
	lift with a pitchfork