There are several job opportunities at HUD currently being advertised on 
USAJOBS:

http://jobsearch.usajobs.opm.gov/agency_search.asp
(choose HOUSING AND URBAN DEVELOPMENT DEPT. from the list, and click the 
SEARCH FOR JOBS button)

Examples:

Program Analyst (intern), FHA Commissioner- Washington DC (1 vancancy)
Restructuring Analyst (intern), FHA, Office of Housing Assistance Programs 
- Washington DC (1 vacancy)
Summer employment, Santa Ana, CA field office (15 vacancies)
Program Analyst, Office of Public and Indian Housing, Philadelphia (1 
vacancy)
Project Manager, Office of Multifamily Housing, Atlanta (1 vacancy)
Program Support Analyst, Office of Public and Indian Housing, Oklahoma 
City (1 vacancy)
Single Family Housing Specialist, Office of Housing, Philadelphia (1 
vacancy)