Home Anesthesiologist Houston, TX Salary. Anesthesiologist Houston, TX average salary is $69,007, median salary is $60,000 with a salary range from $19,967 to $2,094,285.Anesthesiologist Houston, TX salaries are collected from government agencies and companies.Each salary is associated with a real job position. Anesthesiologist Houston, TX salary statistics is not exclusive and is for reference only. They are presented as is and updated regularly.nesthesiologist Houston, TX salary is full-time annual starting salary. Intern, contractor and hourly pay scale vary from regular exempt employee. Compensation depends on work experience, job location, bonus, benefits and other factors.