Law-making authority of the government is called Legislative. The legislative branch of government is responsible for creating laws. It is one of the three branches of government along with the executive and judiciary.

The Legislative branch is responsible for making laws, while the Executive branch is responsible for implementing and enforcing those laws, and the Judiciary branch is responsible for interpreting those laws.

The legislative branch is composed of elected representatives who are responsible for creating laws that govern society. These representatives are elected by the people and are supposed to represent the interests of their constituents.

The legislative process involves the introduction of a bill, which is a proposal for a new law or a change to an existing one. The bill then goes through a series of readings, debates and amendments before it is voted on by the representatives. If the bill is passed, it is sent to the executive branch for approval and implementation.

In a democratic society, the legislative branch is an essential part of the government. It allows for the people to have a say in the creation of the laws that govern their lives. Without a legislative branch, the executive branch would have unlimited power, which could lead to abuse and tyranny.

In conclusion, the law-making authority of the government is called legislative. It is responsible for creating laws that govern society and is an essential part of a democratic society.