Paternal involvement and acceptance were compared among 218 custodial divorced fathers, 222 married fathers, and 105 noncustodial divorced fathers. The predictors examined were narcissistic traits and caregiving behaviors, with coparental cooperation and child characteristics as moderators. Results indicated that compared with married and noncustodial fathers, custodial fathers were more involved with their children, cooperated less with their children’s mothers, and viewed their children as being difficult. The interactions underscore the uniqueness of custodial fathers: Unlike married and noncustodial divorced fathers, custodial fathers were more accepting of their children, regardless of their avoidant caregiving. Coparental cooperation and narcissistic traits were associated with the greater involvement of noncustodial fathers compared with custodial fathers. In addition, child difficulty moderated the association between acceptance and narcissistic traits. (PsycINFO Database Record (c) 2019 APA, all rights reserved)