No there is no reason you should be denied a passport. There may be restrictions imposed by other countries as to your travel, there, however, most notably since it is nearby Canada. This country regards DUIs as serious crimes and will bar recently convicted DUI offenders from entering. There are ways around this problem but you should see an immigratioon lawyer to find out what you must do.
If you are a citizen, then you will be able to get your passport. However, your DUI conviction may cause you to be inadmissible in certain countries. You should research that issue prior to leaving the U.S.
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