The dwelling is situated on the corner of High Street (which runs passed/past the premises on the northern side) and Low Street (which runs passed/past the premises on the eastern side).
Hi Therasa
The preposition "past" is correct, not the verb past participle "passed". You'll find that PPs like "past the X" crop up quite often as complements of verbs of motion like "run":
He ran right past me. They ran past the marker.
The verb participle "passed" is used as head of a verb phrase, often with a direct object: