Eager or inordinate desire for some object that confers distinction, as preferment, honor, superiority, political power, or literary fame; desire to distinguish one's self from other people.

“My son, John, wants to be a firefighter very much. He has a lot of ambition.”

An object of an ardent desire.

“My ambition is to own a helicopter.”

A desire, as in (sense 1), for another person to achieve these things.

To seek after ambitiously or eagerly; to covet.

“Pausanias, ambitioning the sovereignty of Greece, bargains with Xerxes for his daughter in marriage. — Trumbull.”