I just recently applied for a federal job and I was chosen as a qualified candidate and received two interview.  I am still awaiting a final decision.  The process is not difficult however, it is much more detailed than applying for most private sector jobs.  You do not send your application/resume directly to the actual job location. It will be sent to the regional office for that paticular agency. If you are deemed qualified, your resume will be forwarded to the selecting official for further consideration.  Your resume must include specific information that a normal resume would not have.  When I applied, I included my resume, the Optional Application for Federal Employment and a narrative (referred to as Selective Placement Factors or KSA's) and Form SF 15.   If you were a former federal employee, which I am, you need to include your last Notificiation of Personnel Action, (Form SF 15).  When you search for a federal job, the posting will include instructions on how to apply. Check the USA Jobs website at  http://www.usajobs.opm.gov/  you can search for a federal job in your area and find all the details and forms you need to correctly apply for a federal job.  Good Luck!