great, major, real, remarkable (esp. BrE), resounding
memorable
The team enjoyed a memorable triumph last night.

little, minor, small
eventual, final, ultimate
artistic, diplomatic, electoral, military, political
personal

score
The union scored a triumph in negotiating a minimum wage within the industry.

hail sth as, see sth as
They hailed the signing of the agreement as a major diplomatic triumph.

celebrate
represent
This result represents a personal triumph for the party leader.

in triumph
The leading runner raised his arms in triumph.

triumph against
their recent triumph against Brazil
triumph against seemingly insuperable odds

triumph for
The match was a personal triumph for Rivaldo.

triumph in
their triumph in the general election

triumph of
the triumph of the human spirit

triumph over

a/sb's moment of triumph
This was her moment of triumph.

a sense of triumph
a/sb's triumph over adversity
Her victory was hailed as a triumph over adversity.

eventually, finally, ultimately
always
He believes that good will always triumph in the end.

over

triumph over adversity
She was confident that she would ultimately triumph over adversity.