In this paper we establish various results involving parallel line-valued conditional Yeh-Wiener integrals of the type
E
(
F
(
x
)
|
x
(
s
j
,
⋅
)
=
η
j
(
⋅
)
E(F(x)|x(s_j,\boldsymbol {\cdot })=\eta _j(\boldsymbol {\cdot })
,
j
=
1
,
…
,
n
)
j=1,\dotsc ,n)
where
0
>
s
1
>
⋯
>
s
n
0>s_1>\cdots >s_n
. We then develop a formula for converting these multiple path-valued conditional Yeh-Wiener integrals into ordinary Yeh-Wiener integrals. Next, conditional Yeh-Wiener integrals for functionals
F
F
of the form
\[
F
(
x
)
=
exp
{
∫
0
S
∫
0
T
ϕ
(
s
,
t
,
x
(
s
,
t
)
)
d
t
d
s
}
F(x)=\exp \left \{\int _0^S\int _0^T\phi (s,t,x(s,t))\,dt\,ds\right \}
\]
are evaluated by solving an appropriate Wiener integral equation. Finally, a Cameron-Martin translation theorem is obtained for these multiple path-valued conditional Yeh-Wiener integrals.