There are multiple definitions - click on the translation that matches your context.
assignment means:
Zuweisung means:
Substantiv
partial
noun
The German term "Zuweisung" has a much narrower meaning than a general employee job assignment. However, since any more descriptive translation of the underlying concept could take up several cumbersome words, we suggest using the word "assignment" and embedding a translator's note or parenthetical explaining the unique German public-private institution.
a complete transfer of ownership
The assignment of shares for the benefit of spouses is not subject to restriction.
a position or work that is given to someone to do as part of their job or studies
I have to finish this assignment by the end of the week.
transfer of rights under an agreement
The contract expressly prohibited assignment of any contractual rights.