The purpose of this study is to identify key factors that may affect the quality of Auditing in external private Audit firms of Ethiopia, focusing on the impact of competence and independence on the quality of auditing. To attain this objective, a study adopted mixed method of research approach to test a research hypothesis, and by using convenience sampling design, one hundred two close ended sample questionnaires were distributed to Audit practitioners working in private external audit firms of Ethiopia. The study used ordinal regression model of data analysis and statistical package, SPSS. The result discloses that Audit competence has statistically positive significant effect on audit quality on 5% significance level, and Audit independence has statistically positive significant effect on audit quality on 5% significance level. Therefore, this study suggests the Auditing Board of Ethiopia to give a bigger scale to independence and competence of auditors while setting a criteria to be fulfilled in the process of awarding professional licenses for new entrants