Chief Minister Ashok Gehlot said the government will file a special leave petition in this matter in the top court.
Rajasthan police chief Umesh Mishra said they have taken the comments of the "court seriously and are examining the files in detail".
The Supreme Court has agreed to hear on May 17 an appeal by some of the family members of those killed in the 2008 Jaipur serial blasts challenging the Rajasthan high court verdict acquitting four men, who were handed down death penalty by a trial court in the case.
The Rajasthan high court on Wednesday acquitted all the accused in the 2008 serial Jaipur blasts case which claimed 71 lives and left over 180 injured.
The bench, which refused to stay the high court verdict, imposed certain conditions and directed that the four people, who were acquitted, be released unless wanted in any other case.
On Wednesday, the court had convicted Mohammad Saif, Mohammad Sarwar Azmi, Mohammad Salman and Saifurrehman. Another accused, Shahbaz Hussain, was acquitted with the court giving him the benefit of the doubt. The serial blasts rocked Jaipur on the evening of May 13, 2008 within a two-kilometre radius in the walled city, popular also with tourists.
The acquittal of four men accused in the 2008 Jaipur serial blasts case by the Rajasthan high court has come as a shock to many, including those who lost their loved ones or were themselves injured in the terror attack and are living with the bad memories.
70 people were killed and 185 injured after the eight serial bomb blasts had rocked Jaipur on May 13, 2008.