'non-anthropomorphic' is formed in English from the prefix 'non-' (meaning 'not') and the adjective 'anthropomorphic', where 'anthropo-' derives from Greek 'ἄνθρωπος' ('human') and 'morph' from Greek 'μορφή' ('form').

'anthropomorphic' entered English via Late Latin and French (e.g. Late Latin/French forms meaning 'having human form'), derived from Greek components 'anthrōpos' + 'morphē'; the negating prefix 'non-' was attached in Modern English to create 'non-anthropomorphic'.

Originally, 'anthropomorphic' meant 'having human form'; by adding 'non-' the compound simply negates that idea—over time 'non-anthropomorphic' has come to be used more broadly to indicate absence of human traits, likeness, or personification.