Abstract: Based　on　the　properties　of　normal(anti-normal)ordering　product　of　quantum　operators　and Baker-Hausdorff　operator　equation，using　the　Gauss　integral　form　of　coherent　state　representation　completeness，we derive　some　operator　identities，recursive　relations　and　integral　formulas　related　to　two-variable　Hermite　polynomial.Compared　with　other　methods，this　method　is　easier　and　neater　in　theory　and　application.

Key words: two-variable　Hermite　polynomial, normal　ordering　product, anti-normal　ordering　product, recursive　relation, integral　formula