Hath hold upon is an archaic phrase that is rarely used in modern English, but it refers to having a firm grip or control over something or someone. There are several synonyms that can be used to convey this meaning, including having a tight grasp on, having a strong hold over, having a firm grip on, having a stranglehold on, or having a firm control over. Each of these terms can be used to describe a situation where one has a significant amount of power or influence over another person or entity. While hath hold upon may sound outdated, these alternative phrases can be used to convey the same message in a more contemporary fashion.