Organizational demands on productivity, innovations, and safety may seem paradoxical. How can the organization support employees to cope with such paradox? Based on organizational climate measures of safety, occupational health, innovativeness, and production effectiveness, we explored if a second-order organizational climate could be identified, that was associated with staff safety, health, innovations and team effectiveness, and if such a climate could be represented by an organizational climate of perceived organizational support (POS). Questionnaire data were collected from 137 workgroups in four Swedish companies in construction and mining. Analyses (structural equation modeling) were done at the workgroup level and a split sample technique used to investigate relations between climates and outcomes. A general second-order organizational climate was identified. Also, an organizational climate constructed by items selected to represent POS, was associated with team effectiveness, innovations, and safety. A POS-climate may facilitate employees’ coping with paradoxes, and provide a heuristic for managers in decision making.