  In this work, in the Hilbert space of vector-functions L^2
(H,(-\infty,a)\cup(b,+\infty)),a<b all normal extensions of the minimal
operator generated by linear singular formally normal differential expression
l(\cdot)=(d/dt+A_1,d/dt+A_2) with a selfadjoint operator coefficients A_1
andA_2 in any Hilbert space H, are described in terms of boundary values. Later
structure of the spectrum of these extensions is investigated.
