This paper is devoted to study the null controllability properties of a nonlinear age and
two-sex population dynamics structured model without spatial structure. Here, the nonlinearity
and the couplage are at birth level. In this work we consider two cases of null controllability
problem: The first problem is related to the extinction of male and female subpopulation density.
The second case concerns the null controllability of male or female subpopulation individuals. In
both cases, if A is the maximal age, a time interval of duration A after the extinction of males or
females, one must get the total extinction of the population. Our method uses first an observability
inequality related to the adjoint of an auxiliary system, a null controllability of the linear auxiliary
system and after the Kakutani’s fixed point theorem.