Your wife or husband, as well as your children can join you. Your children have to be unmarried. Furthermore your children cannot be more than 18 years of age at the time of your asylum application in Austria. This process is called family reunification.
If you are under 18 years of age, your parents and siblings (under the age of 18) can join you in Austria. If you are now over 18, but were under the age of 18 when you applied for asylum in Austria, family reunification is also possible.
Your family will have to file an application at an Austrian embassy. It is important that they start this process within three months after you have received your positive asylum decision. In order to meet this deadline, it is sufficient to file the application with the embassy. The application sheet can be found here.
The Austrian Red Cross can help you and your family members with the application. Please contact the Austrian Red Cross.