If you are using Lightroom 6 or CC 2015, then please try to reset the Lightroom preferences back to default.
Press the shift + option keys immediately after you restart Lightroom, and select Reset Preferences from the resulting dialog box.
Let us know if that helps.
Thank you so much for your help, but that didn't work. It is still doing the same thing. Can you think of another solution?
What exactly do you mean by "It Ejects". If it was LR that was Auto Ejecting the card that is a function of the operating system that LR calls up. So if LR was Auto Ejecting the card it would also be ejected, removed, in the OS and the card would not be accessible from the File Manager of the OS.
Please post a screen shot of the import dialog and make sure the Destination section of the right hand panel is visible in the import dialog.
I suspect your destination setting is incorrect, somehow, and because of that the images aren't showing up in the import dialog.
I have uploaded a video of exactly what happens.
Do you also have videos on that card?
What camera is the card from? Make and exact model number.
In your video is looks like there are files LR can't read on the card.
If you have USB 2 ports on your computer try plugging in the card reader to one of those and test.
That is totally weird. It works on my USB 2 ports. Why would that be the case?
It is losing the connection between the USB 3 port and the reader. USB 2 is more stable.
But I can still navigate to the card from my computer and it is still connected. So it's LR that can't read the card?