Yes. Put as much money as you can into tax-sheltered retirement accounts, such as 401(k)s and IRAs. That's because the investments in those accounts grow tax-free until retirement - meaning you'll wind up with way more money in your old age than you would have otherwise.
When you own stocks outside of tax-sheltered retirement accounts such as IRAs or 401(k)s, there are two ways you might get hit with a tax bill. If your stock pays a dividend, those dividends generally are taxed at a rate of up to 15% at the end of each year.
In addition, if you sell a stock, you pay 15% of any profits you made over the time you held the stock. Those profits are known as capital gains, and the tax is called the capital gains tax. One exception: If you hold a stock for less than a year before you sell it, you'll have to pay your regular income tax rate on the gain - a rate that's usually higher than the capital gains tax.
For more details, see Investments and taxes.