Outside The Shard, crowds gathered and commuters stopped to take pictures of the protesters as they progressed several hundred feet up.
The women are climbing in two groups - three in each.
They are currently about halfway up and appear to have stopped for a break.
More top news
At 14, Benji Edwards is hoping to become the youngest person to ever sail around the North Pole and break a world record in the process.
Bob and Mike Bryan said they were withdrawing from the Games over concerns for their families health.
The former boss of BHS said a parliamentary committee that investigated the closure of the stores was a 'kangaroo court'.