The free HPV vaccine is being extended for men up to the age of 22.
The vaccine protects against a number of types of cancers in men.
Online booking system will open on HPV.ie next Tuesday and remain open until the end of the year.
Since its launch last year, the Laura Brennan Catch-Up Programme - named in memory of the late campaigner - has provided vaccines to over 3,500 people who didn't receive them while at school.
Health Minister Stephen Donnelly is urging all those eligible to avail of the programme.
"It's a really important opportunity for boys and young men. The vaccine is completely free of charge and will be administered at the HSE vaccine clinics.
"The vaccine protects men from several cancers, including throat cancer, anal cancer, and mouth cancer.
"One in three men, aged 15 and older, carry at least one strain of the HPV virus.
" The advice I have right now is to go up to 21 based on the availability of vaccines. The program runs to the end of the year, and we'll assess it coming up to the end of the year to see if we want to continue with the program and, indeed if we increase the age eligibility for young men."