〜ことはない
there's no need to
Verb dictionary form + ことはない
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ことはない tells someone there's no need to do something, usually to reassure them: そんなに心配することはないよ, "there's no need to worry so much".
It's warmer than 必要はない, which is more factual, and it's common when comforting or encouraging someone: 謝ることはありません, "there's no need to apologise".
The polite form is ことはありません. In casual speech, は often drops: 心配することない.
Don't confuse it with ことがない, which after a dictionary form means "never" (and after a た-form, "have never"). The particle makes all the difference: ことはない is "no need", ことがない is "never".
Examples
そんなに心配することはないよ。
There's no need to worry so much.
急ぐことはない。時間はたっぷりある。
No need to hurry. There's plenty of time.
わざわざ来ることはないですよ。
There's no need to come all this way.
謝ることはありません。あなたは悪くない。
There's no need to apologise. You did nothing wrong.
一回失敗したくらいで、落ち込むことはない。
There's no need to get down over one failure.