to take or accept responsibility (for a problem or failure); to accept the blame, which can include apologizing, compensating, or resigning.
ミスが発覚したら誠意を持って責任を取るべきだ。
If a mistake is discovered, one should take responsibility with sincerity.
その経営者は不祥事で責任を取って辞任した。
The executive took responsibility for the scandal and resigned.
チームの失敗についてキャプテンが責任を取った。
The captain took responsibility for the team's failure.
被害を出した会社は責任を取って補償を行った。
The company that caused harm took responsibility and provided compensation.