  In this work, firstly in the direct sum of Hilbert spaces of vector-functions
$L^{2} (H,(-\infty,a_{1})) \oplus L^{2} (H,(a_{2},b_{2}))\oplus^{2}
(H,(a_{3},+\infty))$, $- \infty<a_{1}<a_{2}<b_{2}<a_{3}<+\infty$ all normal
extensions of the minimal operator generated by linear singular multipoint
formally normal differential expression $l=(l_{1},l_{2},l_{3}),l_{k} =
\frac{d}{dt}+A_{k}$ with a selfadjoint operator coefficient $A_k k=1,2,3$ in
any Hilbert space $H$, are described in terms of boundary values. Later
structure of the spectrum of these extensions is investigated.
