Only finite groups and classes of finite groups are considered. $\frak F$-injectors (B. Fischer, W. Gaschutz, B. Hartley, 1967) and $\frak F$-projectors (W. Gaschutz, 1969), where $\frak F$ is a class of groups, are well-known subgroups in groups that generalize the properties of Sylow and Hall subgroups. For a non-empty set $\omega$ of primes the concept of $\frak F^{\omega}$-projector of a group (V. A. Vedernikov and M. M. Sorokina, 2016), which generalizes the concept of $\frak F$-projector, was introduced. Using a similar approach, the authors of this article defined $\frak F^{\omega}$-injectors in groups. A subgroup $H$ of $G$ is called an $\frak F^{\omega}$-injector in $G$ if $H$ is an $\frak F$-maximal subgroup in $G$ and for every subnormal $\omega$-subgroup $K$ of $G$ the intersection $H \cap K$ is an $\frak F$-maximal subgroup in $K$. In the case where $\omega$ coincides with the set of all primes, the concept of an $\frak F^{\omega}$-injector coincides with the concept of an $\frak F$-injector of a group. The goal of this paper is to study the properties of $\frak F^{\omega}$-injectors in soluble groups. The paper uses classical methods of proofs of the theory of finite groups, as well as methods of the theory of classes of groups. The following tasks are solved: the existence and conjugacy of $\frak F^{\omega}$-injectors in solvable groups are established (Theorem 1); necessary and sufficient conditions under which a subgroup of a solvable group is its $\frak F^{\omega}$-injector are described (Theorems 2–4). Obtained results develop known theorems on $\frak F$-injectors; they can be useful in further research of the subgroup structure of finite groups using methods of the theory of classes of groups.