Clay, puppets, paper cutouts, even ordinary household objects can all be the subject. The process is: shoot one frame, nudge the object a few millimeters, shoot again — repeated enough times to fill a second of footage, usually 12 to 24 frames.
The key difference from digital animation is that a perfect repeat is physically impossible. A human hand moves the object slightly differently every time, and lighting or shadows drift a hair each frame too — that imperfection is exactly what gives stop motion its distinctive handmade feel. Studios like Laika (Coraline) and Aardman (Wallace & Gromit) are famous for controlling that wobble with extreme precision rather than eliminating it.
When digital animation wants to fake the stop-motion "feel," it adds a tiny random position offset to every frame to reproduce that same jitter.
When to use
Don't try to eliminate the jitter entirely — smooth it out too much and you lose the exact texture that makes stop motion recognizable.