A novel random number generator (RNG) based on an autonomous continuous-time chaotic oscillator is presented. In the proposed RNG, dual oscillator architecture is used with the chaotic oscillator in order to increase the throughput and to maximize the statistical quality of the output sequence. Mathematical model of the proposed design has been developed, and it has been numerically verified that the generated bit stream passed the four basic tests of FIPS-140-2 test suite. Finally, we have also verified that the bit streams, obtained from the hardware realization of the circuit in the same way, passed the full NIST-800-22 test suite without post processing. Simulation and experimental results, verifying the feasibility of the circuit, are given. The proposed RNG can be realized in integrated circuit.