“私刑处死”可以翻译为“lynch” 或 “execute by lynching” 。“lynch”本身就有“（以私刑）处死；私刑拷打致死”的意思；“execute by lynching”则更明确地表达了“通过私刑的方式处死”这一含义 。
例如：
He was accused of a crime and lynched by an angry mob.（他被指控犯有一项罪行，然后被愤怒的暴民私刑处死了。）
The incident of execute by lynching sparked widespread outrage and calls for justice.（这起私刑处死事件引发了广泛的愤怒和对正义的呼吁。）