You should have some idea on microoganisms producing lysozyme first. I think that the most known for their active lysozyme production are Staphylococci strains. Both coagulase positive and coagulase neagtive are capable of producing Lysozyme but coagulase positive staphylococci are more active because there is a relationship between coagulase and lysozyme. Bacillus strains can also produce lysozyme. You should first isolate pure strains of these microorganisms and after gathering many isolates you should go on a screening test using a bacterial test for detecting the lysozyme activity. Many techniques are described on the net. I cannot write you all the details of these methods.
Lets believe that just like chitinase even lysozyme can degrade chitin. Now go to an environment like good agricultural soil and try isolating chiinolytic bacteria. You will get these in large numbers. Check some of these isolates for lysozyme production (especially the gram positive spore bearers). You should be able to get some isolates of your choice within 15 days (the longest period of time).
Why dont you check Prof Ali Demirci's papers? He is working at Pennsylvania State University Agricultural and Biological Eng. Dept. and has a lot of papers on lysozyme production.
thanks a lot for your fine answer.about answer of Mr Faid: I search for a bacterial strain that not produce Lysozyme against other microorganisms. but produce this just in colloidal chitin media. Is Staphylococcals are these? Which strain is able to this? after this i want use M.Loteus for prove lysozyme produce.