  We introduce the analog of Bohr compactification for discrete quantum groups
on C*-algebra level. The cases of unimodular and general C*-algebraic discrete
quantum groups are treated separately. The passage from the former case to the
latter is done with help of the concept of canonical Kac quotient for compact
quantum groups\footnotemark. Several examples are presented and passage to the
Bohr compactification is investigated.
