In this paper, we propose a feasible scheme to create macroscopic atom-molecule entanglement from a two-species atomic Bose-Einstein condensate, focusing on the role of the initial populations imbalance of the two species. We find that, by tuning the value of and/or the initial quantum statistics of the atoms, the atom-heteronuclear molecule entanglement can be indeed realized.Keywords Bose-Einstein condensate · Quantum entanglement · Matter wave Since the realization of Bose-Einstein condensates (BEC) in dilute atomic gases [1-3], there are many interests in the generation of coherent matter waves [4-9] and their various novel applications [10,11]. One of such ongoing efforts is the creation of an atom laser for the purpose of high-precision matter-wave interferometry. Due to their much smaller wavelength, the use of the atom laser can lead to a substantial increase of interferometer sensitivities as compared to their optical counterparts. Recently, Haine and Hope proposed a method to create even a squeezed atom laser by using a squeezed light to out-couple atoms from a trapped condensate, and thus the quantum noise in one field quadrature can be further reduced at the cost of increased noise in another quadrature [12]. Subsequently, Haine and his co-workers proposed another feasible scheme to produce the controllable atom-light entanglement still by using a squeezed input light [13]. The basic mechanism of these works is the quantum transfer from the input nonclassical light to the output atoms or atom-photon pairs. In fact, the creation of an entangled atom-photon or atom-atom pairs and their potential applications in current quantum information science have been studied extensively [14][15][16], such as the works based on molecular down-conversion [17], spin-exchange collisions [18,19], or the versatile technique of quantum transfer [13]. Therefore a natural question arise: can these