A dairy animal-monitoring system for a herd of dairy animals includes a dwelling space for the herd of dairy animals, one or more controllable heat stress-reducing means for reducing or preventing heat stress in the dairy animals, and a control system for the dairy animal-monitoring system. The control system further includes a subset-determining device for determining or inputting a subset of the herd, an identification system for identifying the dairy animals from at least the subset, and a heat stress-detecting system for detecting a value of a heat stress indicator with a dairy animal of the subset. The control system is configured to control the one or more heat stress-reducing means in several of the dairy animals on the basis of the at least one detected value.
