The relationships of family demands, caregiving demands, sense of coherence (SOC), and family hardiness (FH) with parents' well-being was evaluated in 76 families (75 mothers and 62 fathers) of young children (infant to 6 years) with asthma. The Resiliency Model of Family Stress, Adjustment and Adaptation (McCubbin, M., & McCubbin, 1993, 1996) was the conceptual framework for the study. The major hypothesis was that SOC and FH, separately and in combination, moderate both family system and caregiving demands on general well-being. With hierarchical regression analysis, SOC and FH explained 56% of the variance in mothers' well-being; family demands, SOC, and FH explained 67% of the variance in fathers' well-being. No moderating relationships were found for SOC or FH. Resiliency factors (SOC and FH) and family demands had direct relationships to the well-being of parents of young children with asthma.