This study investigates the potential differences between spatial and temporal transferability of the HBV rainfall-runoff model parameters in 576 Iranian catchments. Our goal is to determine how parameter transferability is affected by (a) parameter transfer modes (temporal or spatial) and (b) different climate conditions. In the temporal mode, we decide in each catchment based on a benchmark baseline that accounts for the seasonality of flows. In the spatial mode, we examine physical similarity and spatial proximity methods. The main conclusions are that: (1) the HBV model struggles to beat the benchmark in lowland catchments, (2) under stationary conditions, rainfall-runoff models have greater temporal transferability than spatial transferability, (3) under non-stationary climate conditions, the number of catchments that perform best in terms of temporal transferability is smaller than in stationary climate conditions, and (4) the rainfall-runoff model has better transferability from drier to wetter conditions.