Officials at the Australian Swimming Championships had said women were allowed to wear bikini bottoms for modesty purposes at the event but not a full suit and any world records set would not stand if they used them.
Following a recent three-day meeting in Dubai, Fina also stipulated swimsuits should not cover the neck and must not extend past the shoulders and ankles.
The changes, which will be in place for July's World Championships, also limit the thickness and buoyancy of the suits.
"Fina wishes to recall the main and core principle is that swimming is a sport essentially based on the physical performance of the athlete," read a statement from swimming's world governing body.
Report - Hi-tech swimsuits polarise opinion
The first swimsuit to combine stitch-free, ultrasonically welded seams, water-resistant fabric and strategically placed polyurethane panels (designed by Nasa), the LZR took the swimming world by storm last year.
At the Olympics in Beijing, LZR swimmers, most notably American Michael Phelps, won 94% of the golds on offer and broke 23 of the 25 records set in the Cube.
But opponents of the hi-tech suits argue the buoyancy they create amounts to "technological doping".
Fina also intends to limit the use of non-permeable materials in the suits.
Suits to be used from 1 January 2010 will have to be put in for approval by 1 November.
And future submissions will have to be made 12 months in advance of a World Championship or an Olympic Games, with the approved models to be available at least six months prior to the events.
Fina will also publish a list of approved models and these will be used in competitions starting 1 January 2010.
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