(CNN) Two people were arrested on Thursday morning over the murder of pro-migrant mayor Walter Lübcke, according to Germany's federal prosecutor, just days after a suspect already in custody confessed to the killing.

A spokeswoman for the prosecutor, Kerstin Wacker, told CNN that the two alleged perpetrators will be questioned by the judge leading the investigation.

Lübcke, 65, was shot in the head at close range on the terrace of his home in the small village of Istha, in central Germany, in the early hours of June 2.

A German security source told CNN earlier that a far-right supporter, identified only as Stephan E., confessed to Lübcke's killing on Tuesday.

The source added that Stephan E. said he killed Lübcke because of the politician's views, in particular his liberal position on migration and refugee policies

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