house of God vs house of worship

house of God and house of worship both are nouns.

Word	Noun	Adjective	Verb	Adverb
house of God	Yes	No	No	No
house of worship	Yes	No	No	No

As nouns, house of God and house of worship are synonyms defined as:

house of God and house of worship: any building where congregations gather for prayer

Other synonyms of house of God include house of prayer, place of worship.

house of God (noun)	house of worship (noun)
any building where congregations gather for prayer	any building where congregations gather for prayer