We present results showing that the multiple system DENIS-P J020529.0-115925 is likely to be a triple system of very low mass stars and brown dwarfs. The secondary of this previously known binary system shows a clear elongation on six images obtained at six different epochs. Significant residuals remain after point-spread function (PSF) subtraction on these images, which is characteristic of multiplicity and indicates that the secondary is probably a double itself. Dual-PSF fitting shows that the shape of the secondary is consistent with that of a binary system. These measurements show that the probability that DENIS-P J020529.0-115925 is a triple system is very high. The photometric and spectroscopic properties of the system are consistent with the presence of three components, with spectral types L5, L8, and T0.