effective
government, gubernatorial (AmE), presidential
line-item (AmE)
The Governor used a line-item veto to eliminate a $1 million increase to the California Arts Council.

have, wield
exercise, use
The board can exercise its veto to prevent the decision.

threaten
override, overturn

power, rights
threat
pen (AmE)
The President hasn't yet used his veto pen.

veto against
The nobles had a virtual veto against peasant candidates.

veto on
The opposition parties effectively have a veto on constitutional reform.

veto over
a veto over all political appointments

a/the power of veto, a/the right of veto

effectively
The president effectively vetoed this measure.

threaten to

the power to veto sth, the right to veto sth

Veto is used with these nouns as the subject:
president

Veto is used with these nouns as the object:
bill, idea, legislation, measure, resolution