The Bill of Rights, as interpreted by the Supreme Court, regulates police behavior in many ways. These ways are centered around the 4th Amendment (prohibition on unreasonable searches and seizures) , 5th Amendment, (protection against self-incrimination, guarantee of due process), and 6th Amendment (right to an attorney). The Supreme Court has used these amendments in many cases to tell police what they may and may not do in conducting criminal investigations. These include such famous cases as Miranda v. Arizona in which the police were told that they have to inform suspects of their rights before questioning them. The Supreme Court applies the Bill of Rights to various situations related to police actions. In this way, police conduct is regulated by the Court and the amendments.
The Bill of Rights, as interpreted by the Supreme Court and other courts, regulates the police by dictating to them what procedures they may and may not use in trying to apprehend suspects and gather evidence about them.
The most important part of the Bill of Rights in this regard is the 4th Amendment. Court interpretations of this amendment regulate when police need warrants to search people and property.
Another important amendment is the 5th Amendment. It is this amendment which gave rise to the famous Miranda case which requires police to read suspects their rights.
The Supreme Court, through its policy of judicial review, has made a significant impact on the way the police do their job. Also the court influenced the police by regulating how they should conduct their searches and seizures.