My office can request tickets to some Washington, DC attractions for residents of my district. All tickets are free.
For the White House, please know that White House staff, not congressional offices, makes determinations on ticket availability on a first-come, first-served basis. Additionally, congressional offices can only request up to three dates per group and their system does not allow for requests for specific times. Tours of the White House are conducted Tuesday - Saturday.
The Bureau of Engraving and Printing does not require tickets from September - February.
For the White House and the Bureau of Engraving and Printing, please know that securing a tour can be difficult during the spring and summer months, as tour space can fill up three months in advance. For dates that the Bureau of Engraving and Printing are full, their ticket office keeps a daily allotment of tickets to distribute. Their ticket office opens at 8:00AM and closes once the allotted tickets for the day have been distributed.