For a complex Borel measure
μ
\mu
on the open unit disk, and for a weighted Dirichlet space
H
s
\mathcal {H}_s
with
0
>
s
>
1
0>s>1
, we characterize the boundedness of the measure induced Hankel type operator
H
μ
,
s
:
H
s
→
H
s
¯
H_{\mu ,s}: \mathcal {H}_s \to \overline {\mathcal {H}_s}
, extending the results of Xiao [Bull. Austral. Math. Soc. 62 (2000), pp. 135–140] for the classical Hardy space
H
2
=
H
1
H^2=\mathcal {H}_1
, and of Arcozzi, Rochberg, Sawyer, and Wick [J. Lond. Math. Soc. (2) 83 (2011), pp. 1–18] for the classical Dirichlet space
D
=
H
0
\mathcal {D}= \mathcal {H}_0
. Our approach relies on some recent results about weak products of complete Nevanlinna-Pick reproducing kernel Hilbert spaces. We also include some related results on Hankel measures, Carleson measures, and Toeplitz type operators on weighted Dirichlet spaces
H
s
\mathcal {H}_s
,
0
>
s
>
1
0>s>1
.