In the future there is a need to provide seamless mobility to the heterogeneous wireless network user while on the move. To achieve this there is a need to design an efficient vertical handover mechanism. User preference and system condition should be taken into consideration for efficient vertical handover. As the 3GPP Long-term evolution or L TE is the upcoming WWAN technology, performing an efficient vertical handover between L TE and next generation wireless LAN will be the challenge for future research. In this paper a fuzzy based vertical handover algorithm NG-VDA is proposed to provide an efficient vertical handover between L TE and WLAN to the user on the basis of multiple parameters.