In this paper we analyze whether the parental time spent for child care of German households can be explained by psychological personality traits called Big Five to complement frequently used socioeconomic and sociodemographic variables as typical determinants. By applying advanced micro econometric methods to German time use data provided by the German Socio Economic Panel the interdependence between the time for household activities and the non-negativity of time use equations can be controlled for within the estimation process simultaneously. The results show that governmental financial support has no effect on the maternal time but increases the paternal time for childcare. Further the paternal time for market work reduces the maternal time for childcare. A time policy which enables fathers to reduce their employment time would increase maternal and paternal time for childcare.