I examine the problem in the relationship between wage inequality and human capital formation under migration possibilities. Unlike previous analyses, I incorporate the education market and the education price into the analysis, and assume that workers bear the pecuniary cost for receiving education. Given such an assumption, migration possibilities do not necessarily increase education demand since the larger demand for education raises the education price and lowers the net return on education. By modelling an economy where workers in the home country (the labour‐sending country) comprise skilled and unskilled workers and they can migrate to the foreign country (the labour‐receiving country), I show that brain gain and brain drain occur simultaneously in the home country. In particular, if wage inequality is larger in the foreign country than in the home country, skilled workers experience brain gain and unskilled workers experience brain drain in the home country. On the other hand, if wage inequality is sufficiently larger in the home country, brain drain occurs in skilled workers and brain gain in unskilled workers.