house of worship vs house of God

house of worship and house of God both are nouns.

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

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

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

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

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