In this paper, for the first time, we present a direct construction of multiple zero-correlation zone (ZCZ) sequence sets with inter-set zero-cross correlation zone (ZCCZ) from generalised Boolean function. The presented ZCZ sequence sets are optimal and their union is near-optimal ZCZ sequence set. This work partially settles the open problem introduced by Tang \emph{et al.} in their 2010 paper using direct construction. The proposed construction is presented by two layer graphical representation. Finally, the construction is compared with existing state-of-the-art.