Most of the jobs that I look into the website require engineers for QA jobs.
I am not a engineer but i beleive that I can do the jobs that the engineer can do? Am I right to do so? How can I justify my position?

A company is looking for documentation from an outside, objective source when they ask for a degree, something that tells them you are capable. This can also be displayed by your valid work experience, certifications, basically, supply a resume and a portfolio which validates your belief.

The difficulty would be, as Wes has made explicitly clear, try to get your resume to the decision maker, if a gate keeper sees you lack the degree required your resume will likely move into a bin. I would also encourage you to simply go get your degree, if you truly are capable it will only be a matter of time before you have it.

If you already have a degree in another field then try and make the organization understand how this applies, and where it enhances your skills etc...in relation to the position.

I often see in adds "BS in whatever or equivelent experience".

Most of my "quality engineers" have not earned a college degree. But they kick butt.

In addition to the comments above regarding your resume delivered to the hiring manager, I would also recommend that you include not only the positions that you have held, but what you achieved with the dollar savings.

If you read the advice contained in these threads:
Thinking about a New Job for New Year? (http://elsmar.com/Forums/showthread.php?t=19619)
http://elsmar.com/Forums/showthread.php?t=19619
Resume and cover letter - How good are yours? (http://elsmar.com/Forums/showthread.php?t=10169)
http://elsmar.com/Forums/showthread.php?t=10169
The Job Hunt - Care and feeding of references (http://elsmar.com/Forums/showthread.php?t=19094)
http://elsmar.com/Forums/showthread.php?t=19094
Tips to get past the "gatekeeper" when job hunting (http://elsmar.com/Forums/showthread.php?t=9325)
http://elsmar.com/Forums/showthread.php?t=9325

you will see that job ads are only the beginning of the research you need to do about a company before you send in a resume and cover letter.

With adequate research, you can determine whether the requirement really calls for an engineering degree (a degree from a recognized, accredited college or university) or for a "quality engineer" which is merely a job title and may vary in its specific requirements, depending on the employer, such as an ASQ certification as a Quality Engineer (certainly a lot less expensive than a four-year college degree.)

If the requirement is for a college graduate in engineering (with or without a government registration), you may just not be qualified for that job any more than you would be qualified to perform brain surgery just because you had once put a bandage on a scraped knee. Even so, you may take a chance by sending a cover letter and resume, saying what you can do for the company based on YOUR training, experience, and skill.

If you meet some of the requirements-send it in.