die Beziehung
relationship
A romantic and often committed partnership between two people.
Nach fünf Jahren endete ihre Beziehung.
After five years, their relationship ended.

relationship / connection
Loading your saved state.
relationship
A romantic and often committed partnership between two people.
Nach fünf Jahren endete ihre Beziehung.
After five years, their relationship ended.

'Beziehung' (relationship / connection) is derived from the verb 'sich beziehen auf' (to refer to). It describes how two or more things, people, or ideas are connected to one another or relate to one another.
Ich verstehe die Beziehung zwischen diesen beiden Ereignissen nicht.
I don't understand the relationship between these two events.
The connection to a person or thing is expressed with 'zu' (+ dative). The connection between two or more elements is described with 'zwischen' (+ dative).
Er hat eine sehr gute Beziehung zu seinen Eltern.
He has a very good relationship with his parents.
In the plural, 'Beziehungen' (connections) can have a special meaning: useful contacts with influential people. The expression 'Beziehungen haben' (to have connections) means that you gain advantages through personal contacts.
Er hat die Stelle nur durch seine Beziehungen bekommen.
He only got the position through his connections.
When referring to a romantic partnership, 'Beziehung' (relationship) is often used with verbs such as 'anfangen' (to start), 'eingehen' (to enter into), 'führen' (to have/maintain), or 'beenden' (to end).
Sie haben beschlossen, ihre Beziehung zu beenden.
They decided to end their relationship.
ribbon / band
'das Band' and 'die Beziehung' can both describe that people are connected to each other. 'das Band' tends to emphasize a strong feeling of closeness or belonging together. 'die Beziehung' is more neutral and describes the way people relate to each other; it also often means a romantic relationship. The words can be confused because both talk about closeness. But 'Beziehung' is the normal word when talking about partners or about the relationship between people. 'Band' fits better when you want to especially emphasize the emotional bond.

Lisa und Tom führen seit zwei Jahren eine glückliche Beziehung.
Lisa and Tom have been in a happy relationship for two years.
Das gemeinsame Training hat ein starkes Band zwischen den Spielern geschaffen.
Training together created a strong bond between the players.