This paper proposes the alternative array antenna pattern synthesis using the Hermite polynomial. This array type can accomplish the most tapered minor lobes at which is suitable for the applications of radar, radio astronomy and low noise systems. The applications of the Hermite polynomial to synthesize the array pattern are discribed. The radiation characteristics of the Hermite array, as a function of the number of elements for various side lobe ratios, such as radiation pattern, half-power beamwidth, first-null beamwidth, beamwidth broadening factor, directivity, excitation efficiency, the nearest to the furthest minor lobe ratio and beam efficiency are illustrated. The results of these properties are compared with the previous works of the array pattern synthesis viz., Legendre, two kinds of Tschebyscheff polynomials, discretized Taylor one-parameter and Taylor n^^methods. The advantages and disadvantages of each method are included.