
die Verletzung
injury
Physical damage or a wound caused by an accident, violence, or an illness.
Nach dem Sturz hatte er eine schwere Verletzung am Knie.
After the fall, he had a serious injury to his knee.
injury / violation
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injury
Physical damage or a wound caused by an accident, violence, or an illness.
Nach dem Sturz hatte er eine schwere Verletzung am Knie.
After the fall, he had a serious injury to his knee.

violation
A breach of a law, rule, agreement, or right.
Das Parken im Halteverbot ist eine Verletzung der Straßenverkehrsordnung.
Parking in a no-stopping zone is a violation of traffic regulations.

hurt / offense
An affront or insult that affects a person's feelings or honor.
Seine abfällige Bemerkung war eine tiefe Verletzung ihres Stolzes.
His disparaging remark was a deep hurt to her pride.
'Die Verletzung' (injury / violation) is the noun form of the verb 'verletzen' (to injure / to violate / to hurt). The verb can likewise mean physical 'Verwunden' (wounding), breaking rules ('missachten' — to disregard), or hurting feelings.
Pass auf, dass du dich an dem kaputten Glas nicht verletzt.
Be careful that you don't injure yourself on the broken glass.
The context makes clear which meaning is intended. If it is about the body (knee, head), it means a wound. If it is about rules (law, contract), it means a violation. If it is about feelings (pride, honor), it means an offense or hurt.
Die Verletzung am Bein heilte nur langsam.
The injury to his leg healed only slowly.
In connection with physical wounds, you often hear the verbs 'sich eine Verletzung zuziehen' (to sustain an injury) or 'eine Verletzung erleiden' (to suffer an injury). Typical adjectives are 'schwer' (serious), 'leicht' (minor), or 'lebensgefährlich' (life-threatening).
Der Fußballspieler hat sich im Training eine leichte Verletzung zugezogen.
The soccer player sustained a minor injury during training.
When 'Verletzung' (violation) means a breach of rules, it is often followed by a noun in the genitive that names the rule that was broken. Common examples are 'Verletzung des Gesetzes' (violation of the law), 'Verletzung der Menschenrechte' (violation of human rights), or 'Verletzung der Privatsphäre' (violation of privacy).
Das unbefugte Betreten des Grundstücks ist eine Verletzung des Hausrechts.
Unauthorized entry onto the property is a violation of the householder's rights.
break / fracture / fraction
Verletzung and Bruch can both refer to failure to comply with a requirement. Verletzung is used generally for laws, rules, agreements, or rights; Bruch is especially associated with contracts, promises, and arrangements.

Die Weitergabe der Daten war eine Verletzung der internen Regel.
Sharing the data was a violation of the internal rule.
Die Weitergabe der Daten war ein Bruch der Vertraulichkeitsvereinbarung.
Sharing the data was a breach of the confidentiality agreement.