1a task or piece of work allocated to someone as part of a job or course of study:a homework assignment
[mass noun] the allocation of a job or task to someone:the effective assignment of tasks
2 [mass noun] the allocation of someone or something as belonging to a particular group or category:the assignment of individuals to particular social positions
3an act of making a legal transfer of a right or liability:an assignment of leasehold property
a document effecting a legal transfer of a right or liability.