Based on the Bica et al. (1999, Cat. <J/AJ/117/238>) catalogue we studied the star cluster system of the LMC area and provide a new catalogue of all binary and multiple cluster candidates found. As a selection criterion we used a maximum separation of 1.4' corresponding to 20pc (assuming a distance modulus of 18.5mag). We performed Monte Carlo simulations and produced artificial cluster distributions that we compared with the real one in order to check how many of the found cluster pairs and groups can be expected statistically due to chance superposition on the plane of the sky. In the cluster catalogue (file "clusters.dat"), identifiers and remarks, coordinates, object type, maximum and minimum diameter D_max_ and D_min_ and the position angle (P.A.) are taken from Bica et al. (1999, Cat. <J/AJ/117/238>). For the acronyms of the objects see the "Nomenclature Notes" section below, where their Table 1 is reproduced. The acronym used in the OGLE catalogue of star clusters in the LMC (e.g., LMC0012, (Pietrzynski & Udalski, 2000AcA....50..337P) is also given. The 9th column gives the separations (d) in pc found in the corresponding group, assuming a distance modulus of 18.5mag. The last column gives the ages available in the literature; the notes given in brackets indicate the reference. In some cases, only an age for the association of which the cluster appears to be part is found. If so, a corresponding remark is given in brackets.