Biological data and fishery statistics collected in 1984-1992 were used for stock size and TAC estimation of the Patagonian toothfish, Dissostichus eleginoides, from the Kerguelen shelf area. Method of R. Jones (1964) was used for estimating population size and TAC. Calculations were done for the 1984/85 and 1991/92 seasons where directed fishery for the species took place. Population size of D. eleginoides for these seasons was estimated at 43-50 x 103 tonnes. TAC was estimated at 7.3-7.5 x 103 tonnes.