Sure. One way in which policing was similar in Tudor England and the early 18th century was that it was largely based on local government. In both periods, the responsibility for maintaining law and order fell to the local community, and the local sheriff or constable was the primary law enforcement officer. The sheriff or constable would be responsible for keeping the peace, apprehending criminals, and bringing them to justice.
In Tudor England, the sheriff or constable would be appointed by the king or queen, and would be responsible for a particular county or shire. In the early 18th century, the sheriff or constable would be appointed by the local magistrates, and would be responsible for a particular parish or township.
Despite some differences in the details, the basic system of policing in Tudor England and the early 18th century was largely based on local government. This system would continue to be used in England until the early 19th century, when the Metropolitan Police was established in London.