Cost Engineer Salary. Cost Engineer average salary is $60,130, median salary is $56,950 with a salary range from $27,477 to $176,800.Cost Engineer salaries are collected from government agencies and companies. Each salary is associated with a real job position. Cost Engineer salary statistics is not exclusive and is for reference only.ost Engineer Salary. Cost Engineer average salary is $60,130, median salary is $56,950 with a salary range from $27,477 to $176,800.