Path integral in Snyder space

•The definition of the path integral in Snyder space is discussed using phase space methods.•The same result is obtained in the first-order formalism of Faddeev and Jackiw.•The path integral formulation of the two-dimensional Snyder harmonic oscillator is outlined.

The definition of path integrals in one- and two-dimensional Snyder space is discussed in detail both in the traditional setting and in the first-order formalism of Faddeev and Jackiw.