What is the name of the corporation that created the Terminator?

The corporation that created the Terminator is Cyberdyne Systems. In the Terminator universe, Cyberdyne develops the computer technology and robotic systems that eventually lead to Skynet and its machine armies.

The original film explains that Skynet is an advanced computer network built by Cyberdyne Systems. After the first Terminator is destroyed in 1984, Cyberdyne researchers recover its damaged CPU and mechanical forearm. Those futuristic components accelerate the company's research and help make Skynet possible.

A common mix-up is answering “Skynet.” Skynet is the artificial intelligence that controls the machines and launches the nuclear war; it is not the corporation. The Terminator is also often called a Cyberdyne Systems Model 101 or T-800, linking the machine directly to its fictional manufacturer.

The first film presents Cyberdyne as the source of the technology, while later stories show Skynet manufacturing and deploying the Terminators in the future war.