The justice of the Internet judiciary is an important aspect of judicial modernization.Internet courts,online litigation,and artificial intelligence judiciary constitute the basic appearance of contemporary Internet judiciary,and the diversified forms bring about the demand for differential justice and the requirement of coherence demonstration.First,what the Internet judiciary changes is the supply mode of judicial public service resources.Its allocation should not only implement the principle of demand and proportionality to improve the efficiency and convenience of Internet judiciary on the instrumental role,but also achieve Internet governance and implement the principle of equality and contribution to realize the distributive justice of new judicial resources on the functional role through administrative justice function such as Internet courts.Second,online litigation dominated by Internet technology has changed the judicial venue and correspondingly changed the way of procedural participation and control of the parties.On the one hand,online litigation needs to follow the norm standard of traditional procedural justice,and on the other hand,it needs to enhance society's trust in the proceedings and results through the social evaluation mechanism contained in subjective procedural justice.Third,the application of algorithms and blockchain in artificial intelligence makes it possible to automate the judgment of specific matters.While copying the'appearance'of human judges to assist or replace judicial judgment,it is necessary to ensure accuracy,transparency and fairness,as well as establish the correction system and post-review mechanism.