Human immunodeficiency virus (HIV) is a virus that attacks human's immune system against infection. The virus destroys immune cells, especially CD4 cells (T cells) that help the immune system fight infections so that if the CD4 cell is damaged, the immune system is not able to work correctly. HIV transmission can occur through sexual contact, injection of syringes, and vertical transmission from HIV / AIDS mothers to their babies. Also, according to the Ministry of Health of the Republic of Indonesia in 2016, seen by type of work, people living with AIDS in Indonesia most often come from the group of housewives. This fact becomes a threat if there is vertical transmission to the group and causes an increase in the number of people who infected with HIV. However, the vertical transmission of HIV does not always occur. That is, a mother with HIV / AIDS can give birth to an infected baby or a healthy baby (not infected). A mathematical model of HIV spread is constructed in this manuscript, which includes the vertical transmission from infectious parents to the newborn. The model is constructed as a four-dimensional ordinary differential equation when the newborn term is in the non-linear form which depends on all compartments. A brief mathematical model analysis about the existence and local stability of equilibria analyzed along with the basic reproduction number. We find that vertical transmission of HIV from infected parents plays an essential role in controls strategy of HIV.