However, the party also called for reforms and greater transparency in the 22-year-old collegium system of judges appointing judges in the higher judiciary.
AAP leader Ashutosh said the Centre's "haste" in bringing the NJAC Act had sown seeds of doubt about its intentions with respect to the judiciary.
"Independence of judiciary is paramount. But collegium system should also ensure greater transparency in judges selection...SC should create internal filters and reform collegium system to make it more credible," he said.
The leaders noted that the party will take a broader call on the issue after going through the entire judgement.
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In a series of tweets, Ashutosh alleged that independence of judiciary is under "threat" in the present political dispensation.
"SC judgement on NJAC is historic. The judgement is a great blow to the Central government that is trying to make judiciary committed to itself. This govt made CJI as Governor. That was brazen," he said.
In a landmark judgement, the Supreme Court today declared as unconstitutional the law brought by the NDA government to replace the over two-decade-old collegium system of judges appointing judges in the higher judiciary.
The apex court, which quashed the NJAC Act in an unanimous verdict, also declared as unconstitutional the 99th amendment to the Constitution to bring in the Act to replace the collegium system.