By refusing to take up the matter, the top US court let stand a ruling by the state's supreme court that struck down a local law requiring "the performance, display and explanation of a pre-abortion ultrasound."
The state claimed to have a "legitimate interest of reducing the risk that a woman may elect an abortion, only to discover later, with devastating psychological consequences, that her decision was not fully informed."
The law mandated that doctors or certified technicians working with them perform ultrasounds on woman at least an hour before carrying out an abortion.
In addition, physicians or certified technicians were required to provide a medical description of the images, which had to include such details, if applicable, of a heart beat and internal organs.
They also had to "obtain a written certification from the woman, prior to the abortion" although the measure stated that "neither the physician nor the pregnant woman shall be subject to any penalty if she refuses to look at the presented ultrasound images."
Just last week, the court announced it would not review the Oklahoma supreme court's decision to overturn a state law that restricts the use of an abortion pill.
The decision effectively upholds the lower court's ruling that the law was unconstitutional, and will allow doctors in the state to prescribe RU-486, also known as the Mifepristone abortion pill.
It is also expected to say soon whether it will take up a Texas law that could lead to the closure of more than a third of clinics performing abortions in the state.