We propose a new cryptographic algorithm based on combination of hybridization and rotation of cubes. Hybridization was performed using magic cubes with m number of n order magic square for the generating hybrid cubes. The obtained hybrid cube was shuffled via rotation square, which in turn generated from randomly selected magic square. Cubic rotation was performed as same that of simple Rubik's cube shuffling. In general, two phase of rotation was carried out, in which first one involves in the rotation of hybrid cube to generate a key and the second one involves in the rotation of original text to give rise a cipher text. The generated key was in cubical form and cipher text generated from this encryption algorithm is more secure from cryptanalysis. © 2012 IEEE.