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The paper proposes an information hiding technique for steganography and digital watermarking using Bi-dimensional Empirical Mode Decomposition (BEMD) and Hilbert Transform (HT). We use RGB color image as a cover image. The cover image is divided into a number of blocks. Then each block of the cover image is putrefied into a number of Intrinsic Mode Functions (IMFs) using BEMD. We embed secret information with private key into a significant IMF. The embedded secret information, called watermark, is a matrix of 1 and -1. However, this watermark is generated by mapping pseudo-random numbers. Therefore, any unauthorized person who does not possess the private key cannot extract the watermark. The significant IMF is a highest energetic IMF which is selected according to the energy distribution of the putrefied IMFs. Thus the selected IMF is less sensitive to common image and signal processing manipulation. In watermark extraction process, we transform the watermarked object into frequency domain using HT bypassing the use of BEMD due to its empirical characteristics. Thereafter, we extract the watermark bit using block averaging technique. The experimental results of this algorithm demonstrate that the proposed method has better imperceptibility and it is more robust against several image processing and geometric manipulations.