I think they will. They only go back so far I believe (7 years?). You should be fine. My friend who had a felony told her recruiter that she didn't commit any felonies (it was beyond 7 years when it happened) when she was asked and her record came back clean. Know your state laws. In California you don't have to disclose things past certain years due to things like the Fair Ord. Act and the San Fransisco Fair Employment.
One way to find out is to apply. It's not like your credit report where any inquiry may "ding" your record.
Apply here (Fill out the form once, it goes to many hiring companies.): Apply For Truck Driving Jobs
If you need CDL training to get that license, start here: Apply For Paid CDL Training
For more reading, check this out: Trucking Companies That Will Hire Felons.
And don't be afraid to ask more questions here. You'll get the straight dope, no shade or criticism.
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Past felonies and DUI's over ten years old any companies hire me???
DUI:
Driving Under the Influence