Jack Henry Salary. Jack Henry average salary is $85,860, median salary is $92,450 with a salary range from $48,000 to $94,785. Jack Henry salaries are collected from government agencies and companies.Each salary is associated with a real job position. Jack Henry salary statistics is not exclusive and is for reference only.ack Henry average salary is $85,860, median salary is $92,450 with a salary range from $48,000 to $94,785. Jack Henry salaries are collected from government agencies and companies. Each salary is associated with a real job position. Jack Henry salary statistics is not exclusive and is for reference only.