Nouns

(n)political campaign, campaign, runa race between candidates for elective office“I managed his campaign for governor”, “he is raising money for a Senate run”
(n)campaign, cause, crusade, drive, movement, efforta series of actions advancing a principle or tending toward a particular end“he supported populist campaigns”, “they worked in the cause of world peace”, “the team was ready for a drive toward the pennant”, “the movement to end slavery”, “contributed to the war effort”
(n)campaign, military campaignseveral related operations aimed at achieving a particular goal (usually within geographical and temporal constraints)
(n)campaign, hunting expedition, safarian overland journey by hunters (especially in Africa)

Verbs

(v)campaign, runrun, stand, or compete for an office or a position“Who's running for treasurer this year?”
(v)crusade, fight, press, campaign, push, agitateexert oneself continuously, vigorously, or obtrusively to gain an end or engage in a crusade for a certain cause or person; be an advocate for“The liberal party pushed for reforms”, “She is crusading for women's rights”, “The Dean is pushing for his favorite candidate”
(v)campaign, take the fieldgo on a campaign; go off to war