Music Therapist Salary. Music Therapist average salary is $40,992, median salary is $38,397 with a salary range from $20,800 to $93,600.Music Therapist salaries are collected from government agencies and companies. Each salary is associated with a real job position.Music Therapist salary statistics is not exclusive and is for reference only.usic Therapist Salary. Music Therapist average salary is $40,992, median salary is $38,397 with a salary range from $20,800 to $93,600.