Security in embedded systems are presented in this work based on Elliptic Curve crypto-processor (ECCP). Comparison with state-of-the-art algorithms that have been used to implement ECCP are also presented. It proves that Montgomery ladder algorithm is preferred one when the speed is needed. Optimization problem for general ECCP architecture are started from the selected algorithm and ends with liveness analysis and forward path. The inversion operation based on Itoh-Tsujii GF(2⁴⁰⁹) is discussed in this work. The proposed ECCP is implemented for GF(2¹⁶³) and GF(2⁴⁰⁹) where the execution time are 8 μs and 61.2 μs respectively in sequentially design.  The design and  results are implemented using Xilinx ISE Virtex6.