Hi @Community Alums , I worked on similar kind of requirement in past, Please find below code it will trigger only on 2nd Monday of the month, I tested it, Its working fine. use it in condition script of scheduled job.

function getweekofmonth() {
    var gdt = new GlideDateTime();
	//gs.print(gdt);
    var day = gdt.getDayOfMonthLocalTime();
    var dayOfWeek = gdt.getDayOfWeek();

    var weekOfMonth = Math.floor((day - 1) / 7) + 1;

    if (dayOfWeek === 1 && weekOfMonth === 2) {
       // gs.print("Scheduled Job will Run");
        return true;
    } else {
      //  gs.print("Scheduled Job will NOT Run");
        return false;
    }
}
getweekofmonth();

If my response helped you, please click on "Accept as solution" and mark it as helpful.

Thanks

Suraj