The U.S. legal system is in many ways a continuation of the British law that was used in the colonial era. The major difference is that the founders of the new country were dissatisfied with how constitutional law was handled in Britain because Britain had constitutional traditions but was without a constitution. To remedy this, the Bill of Rights was added to the Constitution in 1788. 

Administrative law

Administrative law, which is considered a branch of public law, governs administrative government agencies. Government agency action can include adjudication, rule making, or the enforcement of a specific regulation. When Congress passes a law on a complicated issue, they often need help working out all of the details of how the law will actually be enforced. Administrative agencies pass additional rules and regulations to go along with the legislation. This helps achieve Congress's original goals. Administrative agencies assist the legislative branch in developing strategies to enforce new laws and the executive branch in executing laws. 

Constitutional Law

The body of law that derives from the U.S. Constitution. The Constitution defines the role of the branches of federal government, divides authority between federal and state governments, and identifies the basic rights of citizens. The term “constitutional law” is almost always in reference to the federal Constitution, but each state also has its own state constitutional law.

Domestic Law

The law that is made by U.S. sovereigns and governs activities on U.S. soil. In certain cases, it may also govern U.S. citizens or others within the jurisdictional power of the U.S. even though they may not be physically present in the U.S.

You can read more here about types of law and how they work together. 

Hierarchy of Authority

All laws must be consistent with the authorities provided under the Constitution; and all regulations, guidance, and policies must be consistent with laws. 

Learn More About Types of Laws