
der Gurt
seat belt
A safety belt in a vehicle such as a car or airplane, intended to protect occupants in an accident.
Bitte legen Sie den Gurt an, bevor wir losfahren.
Please fasten your seat belt before we set off.
belt / strap
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seat belt
A safety belt in a vehicle such as a car or airplane, intended to protect occupants in an accident.
Bitte legen Sie den Gurt an, bevor wir losfahren.
Please fasten your seat belt before we set off.

strap
A strong strap or band used to fasten, secure, or carry objects.
Er zog den Gurt um den Koffer fest, damit er nicht aufgehen konnte.
He tightened the strap around the suitcase so that it couldn't open.

harness / belt
A wide belt that is often part of a uniform or work clothing and is used to carry equipment.
Der Kletterer überprüfte seinen Gurt ein letztes Mal, bevor er die Wand bestieg.
The climber checked his harness one last time before climbing the wall.
In a car or airplane, the verbs 'den Gurt anlegen' (to fasten one's seat belt) or 'sich anschnallen' (to buckle up) are used for a seat belt. The state is described with 'angeschnallt sein' (to be buckled up).
Der Flugbegleiter bat alle Passagiere, den Gurt anzulegen.
The flight attendant asked all passengers to fasten their seat belts.
'Gurt' (belt/strap) is the basic word for many specific straps or belts. Depending on the context, it is often combined into a more precise word, e.g. 'der Sicherheitsgurt' (seat belt, in a car), 'der Spanngurt' (tie-down strap, for cargo), or 'der Klettergurt' (climbing harness, in sports).
Für den Umzug brauchen wir stabile Spanngurte, um die Möbel zu sichern.
For the move, we need sturdy tie-down straps to secure the furniture.
When a strap is used to fasten objects, typical verbs are 'festziehen' (to tighten), 'lockern' (to loosen), or 'umlegen' (to put around).
Kannst du den Gurt um den Schlafsack noch etwas fester ziehen?
Can you tighten the strap around the sleeping bag a bit more?
sponsor / carrier
For clothing or a bag, Träger is a part that runs over the shoulder and holds the item in place. Gurt is a more general, sturdy band used to fasten, secure, or carry objects. Use “Träger” for the permanently attached part of a garment or bag and “Gurt” for a securing or fastening strap.

Der Gurt hält den Rucksack beim Wandern sicher am Körper fest.
The strap keeps the backpack securely against your body while hiking.
Der Träger meines Rucksacks ist gerissen und muss angenäht werden.
The strap on my backpack has torn and needs to be sewn back on.