Although psychologists increasingly provide clinical supervision, the profession has only recently begun to establish standards for competently doing so. This study was aimed at conducting a broader exploration of predoctoral psychology internship training directors’ views (n = 184) on the importance of the supervision competencies initially suggested by C. A. Falender et al. (2004). Respondents generally agreed with the importance of the competencies but showed less agreement with the importance of different types of clinical supervision training. Results reflect the need for further discussion in defining what makes for competent clinical supervision before these competencies are adopted within the profession. Practical implications of these findings are addressed.