A new and distinct primocane-fruiting (autumn-bearing) cultivar of black raspberry, Rubus occidentalis, named ‘Niwot’. The ‘Niwot’ black raspberry was created as a complex cross of two unnamed black raspberry plants collected from uncultivated areas. ‘Niwot’ black raspberry is capable of providing a reliable and productive crop of large black raspberries on primocanes in late summer and early autumn when there are no fresh black raspberries available from other commercial cultivars of black raspberry. ‘Niwot’ also provides a reliable and productive crop of black raspberries on any retained floricanes in late June and early July.