In this paper a new technique called The HandOver Decision STAbility Technique (HODSTAT) is proposed for horizontal handover in Wireless Local Area Networks based on IEEE 802.11 standard. HODSTAT addresses the decision instability which impacts negatively on both user perception and network performances. HODSTAT is based on a hysteresis margin analysis that, combined with a utility-based function, evaluates the need for the handover and determines if the handover is needed or can be avoided. Indeed, if a Mobile Terminal (MT) only transiently hands over to a better network, the gain from using this new network may be diminished by the handover overhead and short usage duration. The approach that we adopt throughout this article aims at reducing with the minimum handover occurrence that leads to network connectivity cut which causes additional delay and packet loss. To this end, MT rather performs a handover only if the connectivity of the current network is threatened or if the performance of a neighboring network is really better comparing to the current one with a hysteresis margin. This hysteresis should make a tradeoff between handover occurrence and the necessity to change the current network of attachment. Through our extensive simulation results, we show that our proposed algorithm outperforms other decision stability approaches for handover decision algorithm.