Hearst filed the copyright infringement lawsuit at the US District Court for the District of Massachusetts in July.
It accused Aereo of violating its copyrighted-programmes by capturing signals and reproducing them for its customers without permission.
“Hearst has not demonstrated a sufficient likelihood of success on the merits nor the requisite irreparable harm” for an injunction, district Judge Nathaniel Gorton said in his 8 October decision.
In his decision, Judge Gorton stated: “After considering the relevant factors, the court finds that a preliminary injunction is unwarranted. Hearst has not demonstrated a sufficient likelihood of success on the merits nor the requisite irreparable harm and therefore it is not entitled to that extraordinary and drastic remedy.’”
Aereo faces other requests for injunctions from TV networks including Fox and CBS Utah affiliates KSTU-TV, KUTV-TV and KMYU that that could potentially shut it down.
They jointly filed a copyright infringement complaint against Aereo in the US District Court for the District of Utah on 7 October.
“Today’s decision, coupled with the decisions in favour of Aereo in the Southern District of New York (11 July 2013) and the Second Circuit Court of Appeals (1 April 2013 and 16 July 2013), shows that when you comply not only with the letter, but the spirit of the law, justice will prevail,” said Aereo CEO and founder Chet Kanojia in a statement.