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There are many techniques to improve the characteristic of antennas. In this work we use ideas of the fractal. The purpose of this work is to design and analyze Hilbert curve fractal antennas resulting in the empirical model. We use the Zealand program for simulating antennas. The antennas receive and transmit in many frequency resonances. The first frequency resonance is 1.8 GHz band and others are higher than 1.8 GHz. We design a small Hilbert curve fractal antenna. We analyze this antenna by using the concept of resonance frequency that depends on the dimension size of the antenna to yield the model of Hilbert curve antenna that can be used to predict the multi resonance frequency. In the experiment we found that the percent of difference for this model is lower than 4.6%. That model will be helpful for design Hilbert curve fractal antennas.