In this paper special multipliers for the Weyl transform are studied. The Weyl transform \(W(f)\) of a function \(f\) on \(\mathbb{C}^ n\) is a bounded operator on \(L^ 2(\mathbb{R}^ n)\) and enjoys many properties of the Fourier transform such as an analogue of the inversion formula and the Plancherel formula. The author studies here the analogue of the Bochner- Riesz means and introduces the Riesz means -- bounded operators on \(L^ 2(\mathbb{R}^ n)\) -- and their corresponding multipliers -- operators on \(C_ 0^ \infty(\mathbb{C}^ n)\) -- in order to specify when these multipliers extend to a bounded operator on \(L^ p(\mathbb{C}^ n)\). The major ingredients of the proof, a kernel estimate and a bound of a projection operator, are shown by deriving bounds for the Hermite functions.