The moves were part of reforms that new leader Aleksander Ceferin has vowed to introduce since taking over from the scandal-tainted Michel Platini in September.
If agreed at a congress in Helsinki on April 5, the UEFA president and 16 executive members will be limited to three four-year terms.
The governance reforms would also mean that any executive member seeking reelectiion must hold an active top office in his country's national association, such as president or general secretary.
A specific article will also be added to the UEFA statutes to insist that venues for all European competitions "are selected in a fully objective manner through a transparent bidding process."
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Europe's top clubs and their union, the European Club Association, have sought for years a place on football's top table.
They want a greater say in the football calendar -- regularly complaining that players are put into too many games -- and on the shareout of the huge revenues from the Champions League and four-yearly European Championships.
The ECA will have "two full member positions" on the UEFA excecutive under Ceferin's plan. That will increase competition for fewer places for national associations.
Ceferin said: "I am very pleased that the executive committee gave a unanimous backing to reforms I consider essential for the strengthening of UEFA and which formed a key pillar of my presidential manifesto.
"I am convinced that our member associations will also endorse these good governance proposals to create a stronger and more transparent governing body for the good of European football.