Fuzzy set theory play a key role in decision making. The philosophical concepts of neutrosophic set theory were studied by many researcher around the globe. Interval valued and single valued interval valued neutrosophic set is a best way to handle fuzzy data more accurately and precisely. Beside this neutrosophic cubic Numbers are quite enough for cracking and patching of large data in fuzzy decision making environment. Under the neutrosophic cubic sets (NCFS) with Bonferroni mean (BM) the present paper developed some new novel aggregation like (NCFABM x,y) and (WNCFABM x,y) with its admirable features. Further we highlighted the remarkable grip of these operators with different parameter values towards MCDM. In last a real life example based on proposed measure under neutrosophic cubic fuzzy sets (NCFS) environment has been included in term of counter intuitive cases for showing the validity and reliability.