Yes, you can certainly put them over regular eyeglasses, as I myself do!
The reality is that these “eclipse glasses” are really solar filters, and are designed to be used for only a brief time; people will hold them over their eyes, to get a view of the partially-eclipsed Sun, and then turn away from the Sun after so many seconds of looking at the eclipse’s progress. They are NOT to be worn while walking around, or driving, or doing any other activities – they are simply too dark!
So do as I do, and simply hold them in place over your regular eyeglasses! They will protect your eyes for the few seconds that you look at the partial phases. And you can do that over and over and over again, as the partial phase deepens.
You will NOT use them for the total phase of the eclipse – only for the partial phases.
Here’s the rule: If any part of the Sun’s bright disk is still visible, you MUST use the eclipse glasses. Once the eclipse is total (which means, you are IN THE PATH of totality, and the Moon is COMPLETELY covering the Sun), then you will not be able to see anything if you try to use the eclipse glasses. At that time ONLY, you can look at the totally-eclipsed Sun safely, without any eye protection. WHY? Because the Sun is being totally eclipsed! There’s nothing dangerous to look at, that you might have otherwise needed eye protection for!
But the second that you see the Diamond Ring, once the total phase is over – then you need to once again use the eclipse glasses to protect your eyes – because the Sun is then no longer totally eclipsed!
Please see our very detailed eclipse viewing instructions page (available in MANY languages!) to get more details on this! Eye safety is CRITICAL – so get educated! And enjoy the eclipse SAFELY!