The difference between Embrace and Hug

When used as nouns, embrace means hug, whereas hug means an affectionate close embrace.

When used as verbs, embrace means to clasp (someone or each other) in the arms with affection, whereas hug means to crouch.

check bellow for the other definitions of Embrace and Hug

Embrace as a verb:

To clasp (someone or each other) in the arms with affection; to take in the arms; to hug.
Embrace as a verb (obsolete):

To accept (someone) as a friend or servant.
Embrace as a verb:

To seize (something) eagerly, or with alacrity; to accept with cordiality; to welcome.

Examples:

"I wholeheartedly embrace the new legislation."
Embrace as a verb:

To accept; to undergo; to submit to.
Embrace as a verb:

To encircle; to encompass; to enclose.
Embrace as a verb (figurative):

To enfold, to include (ideas, principles, etc.); to encompass.

Examples:

"Natural philosophy embraces many sciences."
Embrace as a verb (obsolete):

To fasten on, as armour.
Embrace as a verb (legal):

To attempt to influence (a jury, court, etc.) corruptly; to practise embracery.

Embrace as a noun:

Hug ; putting arms around someone.
Embrace as a noun:

Enclosure, (partially or fully) surrounding someone or something.
Embrace as a noun:

Full acceptance (of something).
Embrace as a noun (figuratively):

Enfolding, including.

Hug as a verb (intransitive, obsolete):

To crouch; huddle as with cold.

Examples:

"rfquotek Palsgrave"
Hug as a verb (intransitive):

To cling closely together.
Hug as a verb (transitive):

To embrace by holding closely, especially in the arms.

Examples:

"Billy hugged Danny until he felt better."
Hug as a verb (transitive):

To stay close to (the shore etc.)
Hug as a verb (transitive, figurative):

To hold fast; to cling to; to cherish.