Выражение встречается в следующем контексте:
The Director of the Office of Management and Budget shall submit to Congress, in conjunction with the President's budget, a report on productivity plans and accomplishments of the agencies and the government as a whole.
Заранее спасибо

президентский проект бюджета
http://www.finansmag.ru/48800

Но Вы посмотрите, какой у Вас контекст (то сть, о проекте ли речь, или обсуждение что на что УЖЕ потрачено - хотя в Вашем тексте все таки написано про ПЛАНЫ).

Вот тут перевели просто "президентский бюджет"
http://www.owl.ru/win/books/budget/b18.htm

1. БЮДЖЕТ - Смета денежных доходов и расходов государства, предприятия или учреждения на определенный срок, УТВЕРЖДЕННАЯ в законодательном порядке.
www.gramota.ru

While in English
BUDGET
A PLAN to show how much money a person or organization will earn and how much they will need or be able to spend:

e.g. The firm has DRAWN UP a budget for the coming financial year.

Also,
THE BUDGET
the official STATEMENT that a government makes about how much it will collect in taxes and spend on public services in the future

http://dictionary.cambridge.org/define.asp?key=10061&dict=CALD

'President's draft Budget' is hardly ever used.

Also, consider the following:
The President's budget is presented to the Congress each January...
digital.library.unt.edu/govdocs/crs/permalink/meta-crs-9239:1

All of this must occur before the president's budget is presented in January or February of the following year.
books.nap.edu/openbook.php?record_id=6128&page=33

...a really comprehensive discussion about our budget, because the President's budget is presented to the Congress
www.epa.gov/oppfead1/cb/ppdc/2002/may02transcrpt.htm

etc, etc.

How would you account for the verb 'to present'?

PRESENT
to put something forward for INSPECTION or CONSIDERATION, typically in a formal or official manner or capacity
http://encarta.msn.com/dictionary_1861732606/present.html