I have 3 preventable accidents in my one year of over the road driving. None of them are major accidents. Is there a company out there that will look at me and give me a chance?

What happened with the company you were working for? Were you fired for these accidents?

Sometimes a trucking company must obey their insurance carrier's policies regarding accidents and you just might have been too much of a risk to continue to be employed by them.

You will just have to keep calling up the major companies and speaking with their recruiters and being honest about your accidents. 3 preventables in one year is way too much though for some companies to even consider you for employment. Depending on just how much dollar wise the accidents were, you may just be out of a driving career for awhile until some time passes.