Justice secretary Liz Truss said the independence of the judiciary was the "foundation upon which our rule of law is built" after attacks on the legal system following the High Court's ruling on Article 50.
However she did not condemn attacks made on the profession from some Conservative MPs and media outlets in the wake of Thursday's ruling.
"Our judiciary is rightly respected the world over for its independence and impartiality," she said.
"In relation to the case heard in the High Court, the Government has made it clear it will appeal to the Supreme Court. Legal process must be followed."