Rapid proliferation of Plasmodium falciparum parasites in human red blood cells is the cause of malaria and is underpinned by an unconventional cell division mode, called schizogony. Contrary to model organisms, P. falciparum replicates by multiple rounds of closed and asynchronous nuclear divisions that are not interrupted by cytokinesis. Organization and dynamics of the critical nuclear division factors are, however, poorly understood. Centriolar plaques, the centrosomes of P. falciparum, are important regulators of division and serve as microtubule organizing centers. Early microscopy studies reveal an acentriolar, amorphous structure although its detailed organization remains elusive. Intranuclear microtubules mediate chromosome segregation, but the small size of parasite nuclei has precluded detailed analysis of their arrangement by classical fluorescence microscopy. We apply our recently developed STED super-resolution microscopy protocol and live cell imaging to describe the reconfiguration of microtubules during schizogony. Analysis of centrin, nuclear pore, and microtubule positioning reveals a bipartite organization of the centriolar plaque. While centrin is extranuclear, we confirm by correlative light and electron tomography that microtubules are nucleated in a previously unknown and extended intranuclear compartment, which is devoid of chromatin. This study enables us to build a working model of the organization of an unconventional centrosome and better understand the diversity of eukaryotic cell division modes.