This is the Albany County Courthouse in Laramie, Wyoming. The courthouse was built in 1931, and is typical for government buildings of that era, which were generally affecting a more "modern" appearance.
This courthouse is one of two courthouses serving the Wyoming's 2nd Judicial District, the other being in Rawlins Wyoming. This courthouse also serves as the seat of the county government and the seat of the Circuit Court for Albany County. The courthouse is perhaps unique in Wyoming in that the presence of the University of Wyoming's College of Law means that it has a bit more student interaction than some other courts.
Second Judicial District's courtroom.