In this paper, the variance-constrained recursive state estimation (VCRSE) problem is investigated for a class of uncertain coupling complex dynamical networks (UCCDNs) under node-event-triggered mechanism (NETM), where the situation regarding the sensor with certain resolutions is considered. In order to reduce the frequency of data exchange among different network nodes, the NETM is employed to govern the data transmission. The purpose of this paper is to propose the VCRSE algorithm for UCCDNs subject to sensor resolutions and NETM such that an upper bound of state estimation error covariance is obtained firstly and then the estimation parameter is designed via minimizing the trace of the derived upper bound. Finally, an illustrative example is adopted to verify the validity of the developed VCRSE strategy.