The direction was passed by the division bench of Justices Abhay Oka and Amjad Sayed in response to a public interest litigation filed by Vihar Durve.
According to the petitioner, the backlog of cases pertaining to crimes against women has been increasing alarmingly.
There were 2,332 cases pending in the fast-track courts in 2012, according to information obtained under the Right to Information Act, says the PIL.
"The High Court registry has written to the State government to comply with the direction but it has not been taken seriously by the government," advocate Bubna said.
The High Court, however, observed that despite a recruitment drive, very few candidates applied for the post of judges in district courts.
"You want more fast-track courts? Where are the judges? The last three recruitment drives could not fill up even 50 percent of the posts," said Justice Oka.
The court asked the state to file an affidavit within four weeks on creation of more fast-track courts. The PIL was posted for further hearing on April 22.
