
der Gipfel
peak
The highest point of a mountain.
Nach einem anstrengenden Aufstieg erreichten die Wanderer endlich den Gipfel.
After a strenuous climb, the hikers finally reached the peak.
summit / peak
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peak
The highest point of a mountain.
Nach einem anstrengenden Aufstieg erreichten die Wanderer endlich den Gipfel.
After a strenuous climb, the hikers finally reached the peak.

summit
A meeting of high-ranking people, especially heads of state or government, to discuss important topics.
Beim Klimagipfel wurden neue internationale Abkommen beschlossen.
At the climate summit, new international agreements were adopted.

height / peak
The climax or highest level of something, often used in a negative sense.
Seine unverschämte Lüge war wirklich der Gipfel der Frechheit.
His outrageous lie was truly the height of insolence.
You can recognize the meaning of 'Gipfel' (summit/peak) from the context. If it is about mountains and nature, it means the mountain peak. In the context of politics and business, it means a meeting of leaders. In connection with negative nouns like 'Frechheit' (insolence), it expresses a peak of annoyance or outrage.
Die Aussicht vom Gipfel war atemberaubend.
The view from the peak was breathtaking.
When referring to a mountain, typical verbs are 'einen Gipfel erreichen' (to reach a peak), 'einen Gipfel besteigen' (to climb a peak), or 'auf dem Gipfel stehen' (to stand on the peak).
Wir wollen morgen den Gipfel besteigen.
We want to climb the peak tomorrow.
In the political meaning, 'Gipfel' (summit) is often used as part of compound nouns, for example 'EU-Gipfel' (EU summit), 'Klimagipfel' (climate summit), or 'Wirtschaftsgipfel' (economic summit).
Die Ergebnisse des Klimagipfels waren enttäuschend.
The results of the climate summit were disappointing.
To express a negative high point, the fixed expression 'der Gipfel der ...' (the height of ...) or 'der Gipfel von ...' (the height of ...) is used. It is followed by an abstract noun such as 'Frechheit' (insolence), 'Dummheit' (stupidity), or 'Ignoranz' (ignorance).
Dass er die Schuld auf andere schiebt, ist der Gipfel der Frechheit.
The fact that he blames others is the height of insolence.
tip / top / lace
Spitze and Gipfel can both refer to the highest point of a mountain. Gipfel is the usual, specific term for this and can refer to the upper part of a mountain as the destination of a climb. Spitze emphasizes the outermost point, which is often narrow or pointed.

Nach fünf Stunden erreichen wir den Gipfel des Berges.
After five hours, we reach the summit of the mountain.
Die schmale Spitze des Berges ragt aus den Wolken.
The mountain's narrow peak rises above the clouds.