A man was found dead on Lion Rock Hill on Saturday.
Police said they received a report at about 10am from hikers, who had found the man, who was in his 40s or 50s, unconscious on the hillside.
He was certified dead when officers arrived.
Preliminary investigations showed that the man might have fallen off a cliff.
No suicide note was found at the scene.
A post-mortem examination will be conducted to ascertain the cause of death.