English word nondenominational comes from English non-, English denominational (Of or pertaining to a denomination.)

Detailed word origin of nondenominational

Dictionary entry	Language	Definition
non-	English (eng)	Used in the sense of not, to negate the meaning of the word to which it is prefixed.
denominational	English (eng)	Of or pertaining to a denomination.
nondenominational	English (eng)	Lacking a denomination; not specific to a particular religion or sect.

Words with the same origin as nondenominational