In the custody transfer of fuels such as liquefied natural gas (LNG), energy measurement accuracy is critical The important elements in calculating transferred energy are the volume, the d. and the superior calorific value (SCV). In this paper we have used a new approach to carefully study the various uncertainty factors contributing to two of these elements: the d. and the SCV. For d., six methods were evaluated, namely the method of extended corresponding states, the Hiza method, the revised Klosek-McKinley method, the Groupe Européen de Recherche Gazi'ere (GERG-2004) method, the GERG-2008 method, and the equation of state-LNG method, to estimate the modeling error in the d. calculation Other factors affecting LNG d. estimation (LNG composition, reference densimeter, temperature and pressure) have also been investigated to derive the total uncertainty in LNG d. estimation For the SCV, the uncertainty has been analyzed with consideration given to uncertainties in the composition and the SCV of LNG components. The expanded uncertainty in LNG energy during custody transfer is estimated to be 0.58% (k = 2) after considering the uncertainties due to the membrane-type tank's unloaded LNG volume, SCV, d. and their correlation effect.