This study examines the time series behavior of South African house prices within a fractional integration modeling framework while identifying potential breaks and outliers. We used quarterly data on the six house price indexes, namely affordable, luxury, middle-segment (all sizes, large, medium, and small sizes), covering 1966: Q1-2012:Q1 for the different middle-segments, 1966:Q3-2012:Q1 for the luxury segment, and 1969:Q4-2012:Q1 for the affordable segment. In general, there is persistence in South African house prices with breaks identified. Our results show that in the cases of affordable and luxury, shocks will be transitory, disappearing in the long run, while for the remaining four series of the middle-segment, shocks will be permanent. Hence, for the middle-segment series, strong policy measures must be adopted in the event of negative shocks, in order to recover the original trends.