In this paper; we propose a simple und efficient embedded image compression algorithm. For embedded image compression, the Embedded Zerotree Wavelet (EZW) method was proposed by Shapiro. But the EZW method takes a great deal of bit-rate to record and to arrange the significant location in a 2-D image compression. To get better bit-rat and image quality): we propose a new method that is called Embedded Important-oriented-tree Wavelet (EIW). EIW bit stream will be obtained from the bitstream of Discrete Wavelet Transform (DWT) by using the correlation of relation location between subbands coefficient. By replacing the significant part of EZW bit stream with the bit stream of EIW we don't need to sort and can save a lot of bit-rate. Simulation results showed that the proposed method obtains better low bit-rate than EZW method and also produces a fully embedded coding for 2-D image.