  In this article we introduce the notion of $J$-fusion frame for a Krein space
$\mathbb{K}$. We relate this new concept with fusion frames for Hilbert spaces
and also with $J$-frames for Krein spaces. We also approximate $J$-fusion frame
bounds of a $J$-fusion frame by the upper and lower bounds of the synthesis
operator. Finally we address the problem of characterizing those bounded linear
operators in $\mathbb{K}$ for which the image of $J$-fusion frame is also a
$J$-fusion frame.
