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In this paper, a nonclassical algebraic solution of a 3-variable irregularGarnier system is constructed. Diarra--Loray have studied classification ofalgebraic solutions of irregular Garnier systems. There are two type of thealgebraic solutions: classical type and pull-back type. They have shown thatthere are exactly three nonclassical algebraic solutions for $N$-variablesirregular Garnier systems with $N>1$. Explicit forms of two of the threesolutions are already given. The solution constructed in the present paper isthe remained algebraic solution.

A nonclassical algebraic solution of a 3-variable irregular Garnier system