Candidates must undergo a medical and a full body check as part of the GIS recruitment process.
It is the ban on stretch marks which has aroused most anger on social media.
This is the latest controversy surrounding the GIS recruitment exercise.
Ghanaians also reacted angrily when the agency revealed it was only recruiting 500 people, after some 84,000 people had paid 50 cedis (Sh 1, 100) each for an application form.
A local MP, Richard Quashigah, has urged rejected applicants to take the GIS to court to recover the application fee.