Pronoun use

Because these are sentence fragments (incomplete clauses), we cannot tell you which is correct. Either could be, depending upon how it is used in the sentence.

"He" is used when "he" is the subject of the sentence or clause. "He ran down the hill." "He and the other boys spent the afternoon fishing on the river."

"Him" is used when "him" is the object of the sentence or clause. "The ball was given to him." "Old Man Gregor chase the other boys and him from the field."

When used as part of a compound subject, "he" usually comes first -- "he and the other boys."  When used as a compound object, "him" usually comes last -- "the other boys and him."

I hope this helps.

When it is used as the subject of a sentence "He and the other persons"

When it is used as the object of a sentence " the other persons and him"