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In the Faddeev formulation of gravity, the metric is regarded as compositefield, bilinear of $d = 10$ 4-vector fields. We derive the minisuperspace(discrete) Faddeev action by evaluating the Faddeev action on the spacetimecomposed of the (flat) 4-simplices with constant 4-vector fields. This is ananalog of the Regge action obtained by evaluating the Hilbert-Einstein actionon the spacetime composed of the flat 4-simplices. One of the new features ofthis formulation is that the simplices are not required to coincide on theircommon faces. Also an analog of the Barbero-Immirzi parameter $\gamma$ can beintroduced in this formalism.

Faddeev gravity action on the piecewise constant fundamental vector fields