Lior has legitimized by a halakha ruling the killing of non-Jews during wartime.[15] He asserted that Jewish women should not use sperm donated by a non-Jewish man, and a baby born through such an insemination will have the "negative genetic traits that characterize non-Jews", and that, "Gentile sperm leads to barbaric offspring".[16]
In 2007, commenting on the situation of African refugees in Israel, Lior said that a much more important issue was the situation of Jewish settlers -"refugees" - expelled from Gaza in 2005.[17]
Leading rabbis have testified that Lior was the source of rulings labeling the late Prime Minister Yitzhak Rabin a "rodef" and a "moser" (a traitor who endangers Jewish lives). Rabin's assassin is known to have visited Lior. Baruch Goldstein also met with Lior. After Goldstein murdered 29 Palestinian worshipers at the Cave of the Patriarchs, Lior described Goldstein as "holier than all the martyrs of the Holocaust". [18][19]
In June 2011, Lior was arrested by Israeli police and questioned on suspicion of inciting violence for endorsing a religious book, the King's Torah, that gives Jews permission to kill innocent non-Jews, including babies.[20] Lior had been summoned for questioning by authorities, but refused to appear. Spontaneous demonstrations erupted in and around Jerusalem as outraged supporters assembled in various parts of the city and on Route 1 to protest Lior's arrest. Israeli chief rabbis Yona Metzger and Shlomo Amar condemned the arrest as a "grave offense to an important rabbi's honor", and 25 members of the Knesset signed a petition denouncing it as "shameful" and as having been orchestrated by Deputy State Prosecutor Shai Nitzan. Lior was released after an hour of questioning.[21][22]
Both opposition leader Tzipi Livni and Prime Minister Benjamin Netanyahu called for a full judicial investigation of Lior's remarks and said that rabbis were not above the law.[23]
In September 2011, he stated that Arabs are "evil camel riders".[24]
In 2012, Lior called US President Barack Obama a racial slur "kushi of the West", and likened him to the genocidal enemy of the Jews, Haman. He also compared Western European leaders to Nazi collaborators.[25]
In July 2014, he said it was acceptable to kill Palestinian civilians and destroy the entire Gaza Strip in order to protect Jewish people in the South.[26][27]
In November 2015, during a eulogy at a funeral in Jerusalem for a father and son killed in West Bank, Lior said of the Paris attacks: "The wicked ones in blood-soaked Europe deserve it for what they did to our people 70 years ago."