The appeal to extend the detention of Eduard Kachura, the suspect in the murder of 17-year-old Yael Melnik, was rejected on Wednesday.
Kachura will then remain in custody. It was only on Tuesday when Kachura's arrest was extended by three days.
Melnik's family put out a statement saying: "The court decision reinforces the feeling that we are on our way to an indictment against the killer of our Yael, we want to see with our own eyes that he is charged with the most serious murder offense there is. Thank you to everyone who continues to strengthen, embrace and support us in this important struggle. Our fight will end when we see the killer go to prison."
Earlier on Monday, the decision to release Kachura to house arrest was overturned by the Haifa District Court.
Kachura, 49, is suspected of murdering the girl he first met when she was hospitalized in the institution he was employed at as a psychiatric nurse.
Melnik's grandmother reported that she was missing, with Melnik's body discovered partially buried in a construction site the following day in early October.
Kachura was known to have been in a romantic relationship with the girl and denied any connection to her murder, stating that "she was my partner."