We describe the realization of a DC electric field trap for ultracold polar molecules, the Thin WIre electroStatic Trap (TWIST). The thin wires that form the electrodes of the TWIST allow us to superimpose the trap onto a magneto-optical trap (MOT). In our experiment, ultracold polar NaCs molecules in their electronic ground state are created in the MOT via photoassociation, achieving a continuous accumulation in the TWIST of molecules in low-field seeking states. Initial measurements show that the TWIST trap lifetime is limited only by the background pressure in the chamber.PACS numbers: 33.80. Ps, 32.80Pj, 33.15Kr, 34.50.Gb Recently, there has been a growing interest in the study of ultracold molecules. While the rich internal structure of molecules poses new challenges in terms of the methods used for cooling and trapping them, the possible applications of cold molecules are remarkable. This is especially true for strongly polar molecules [1,2,3,4,5,6]. Examples include experiments in superchemistry, tests of fundamental symmetries such as the search for a permanent dipole moment of the electron, quantum information processing and the realization of dipolar quantum gases such as polar Bose-Einstein Condensates. For most of these applications, both rovibrational state selectivity and robust trapping schemes are essential. Multiple approaches have been pursued to achieve these two goals simultaneously. For example, buffer gas cooling joined with magnetic trapping [7], Stark deceleration [8] and velocity selection [9] joined with electrostatic/electrodynamic (DC/AC) trapping [10,11,12] and photoassociation [13,14,15,16,17,18] joined with magnetic trapping [19] have all been realized and have attracted substantial interest. Each technique has its advantages as well as limitations, often involving trade-offs between stateselectivity and trapped molecule number, density and temperature.Photoassociation offers the unique starting point in terms of the formation of cold polar molecules because it transfers the initial ultracold temperature of the constituent atoms onto the molecules. This easily results in molecular kinetic temperatures of a few 100 µK and with only a little extra effort, much lower temperatures can be achieved by cooling the atoms beyond the Doppler limit with well established methods [20]. In terms of stateselectivity and control, pump-and-dump and STIRAP (STImulated Raman Adiabatic Passage) based methods have both been demonstrated recently [21,22]. However, to accumulate a sample of ultracold molecules via photoassociation a robust trap is needed that is compatible with the photoassociation process.The preferred starting point for photoassociation of cold polar molecules are bialkali atomic mixtures, cooled and trapped in a MOT. Cold dense samples of alkali atoms are readily created and the resulting polar molecules display strong dipole moments (typically several Debye) in the deeply bound levels of their X 1 Σ state [23]. It is important to note, however, that magnetic trapping of molecules ...