Chemical can kill algae, but the treatment never lasts. It's treating the symptom, rather than the cause. Eventually, the chemicals wear out or break down. If you have not removed the cause, the algae will just grow back.
First thing is reduce the source of nutrients flowing into the pond (fertilizers, manure washing down from further up in the watershed, leaves/trees/grass clipping getting into the pond.) All of that is food for the algae.
Next is aeration. We use an electric aerator in our pond. Our neighbors have a windmill driven one. The so-called aerators that are sprinklers or fountains in the middle of a pond are just about completely ineffective for all but the shallowest of ponds - they only aerate the surface. You need to aerate the whole water column. That takes a diffuser at the bottom of the pond (more than one, if you have a large pond) fed by a compressor. Both my and my neighbors aerators are made by
Koenders. Mine is electric, my neighbor's is windmill-driven. They work well, and last a long time.
Add dye to darken the water in your pond. This reduces how far sunlight penetrates into the pond. Algae needs sunlight to grow. Less sunlight penetrating into the pond means less algae. There are two colors commonly used: black or blue (I use a mix of both). It's basically highly concentrated food coloring. I buy mine from
Clean-Flo.
Add beneficial bacteria to the pond. Various types of bacteria can help break down the muck at the bottom, and can out-compete the algae for the nutrients in the pond (basically starving the algae). I use
Clean-Flo as my source for that as well, but there are others. I generally dose the pond once a month during the summer and get very good results.
Both Koenders and Clean-Flo are great about talking customers through what they might need. Give them a call, and they'll walk you through the options.
A pond is never going to be a swimming pool. However, with the steps above, kids are swimming in our pond any time it's warm enough out.
For more information, check out Tim Matson's books on Earth Ponds. He has written several books, has a website with some information, and does consulting on pond construction and dealing with pond problems. Just Google "Tim Matson Earth Ponds" to find him.