Hi there.   Can I jump on this bandwagon?  Pat is right,  "jump rope/skipping rope/skip rope" is fine.

For pics and definitions go to:

http://www.websters-online-dictionary.org/definition/jump+rope

Jump Rope

Definition: Jump Rope
Jump Rope
Noun
1. A length of rope (usually with handles on each end) that is swung around while someone jumps over it.

Source: WordNet 1.7.1 Copyright © 2001 by Princeton University. All rights reserved.
 
 

Synonyms: Jump Rope
Synonyms: skip rope (n), skipping rope (n). (additional references)

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Sorry for being late, hectic life these days...

See you again, PP.