West 8 landscape architects submitted the plans last week for the 1.6ha park near the River Thames, dubbed a "typical English garden" with a modern spin.
Rolling grassed mounds and meandering paths will define spaces for hard and soft elements including flower beds, edging and walls, seats and a children's area.
Almost 70 new trees and 130sq m of flower beds will be planted with existing trees being retained. Additional trees and beds will go in after 2012.
The design is similar to a previous attempt by West 8 that secured consent in 2006 but stalled over issues including funding.
Earlier this year, Transport for London awarded £1.5m to the project and almost all of the remaining funds have now been secured. Jubilee Park is scheduled to open in 2012, in time for the Queen's Diamond Jubilee.
"The new design has been simplified, with topography less marked and elements like extensive retaining walls omitted," according to the scheme's planning consultancy, Quod.