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<span lang="EN-US">Let X be a complete intersection algebraic variety of codimension m &gt; 1 in Cm+n. Inthis paper we characterized the classical growth parameters order and type for transcendental entire functions f </span><span>∈</span><span> </span><span>⊕</span><span lang="EN-US">(X), the space of holomorphic functions on the complete intersection algebraic variety X, in terms of the best polynomial approximation error in Lp-norm, 0 &lt; p ≤ ∞, on a L − regular non-pluripolar compact subset K of Cm+n.</span>