Chromosome territories formed by fluorescence-labeled sub-chromosomal foci were analyzed in time-lapse series of 3D confocal data sets of living HeLa and human neuroblastoma cells. The quantitative analysis of the chromosome territory morphology confirmed previous results obtained by visual observation [Zink et al., Hum. Genet. 102 (1998) 241-251] that chromosome territories persisted as stable entities over an observation time >4 h. The changes in morphology with time of single chromosome territories were found to be less pronounced than differences in morphology of different chromosome territories in fixed cells. The analysis of the individual motion of chromosome territories recently showed 'Brownian' diffusion-like motion at very slow rates [Bornfleth et al., Biophys. J. 77 (1999) 2871-2886]. Here, we show that the mutual motion of different chromosome territories was independent and also 'Brownian' diffusion-like.