A bench of justices H L Dattu and Dipak Misra, however, agreed to hear the plea of parents of engineering aspirants, who challenged the new "normalisation" policy.
The bench said that it would hear the petition on merit only after being satisfied that the education policy violates fundamental rights of students.
From this year students are to be selected based on their performance in the JEE and the marks they got in the Class 12 board exams. 60 percent weightage would be given to marks obtained in JEE and 40 percent to the board exam results.
Senior advocate U U Lalit, appearing for the petitioner, submitted that the normalisation principle is completely "foreign" to the entire idea of the Centre's education policy.
Expressing reservation in entertaining the plea, the bench asked Lalit to convince it first on maintainability of the petition on the next date of hearing.
The Court issued notice to Centre asking it to respond on the plea within four weeks.