Mail can't access gmail account since 2 step verification

I can't get Mail to accept my password ever since setting up 2 step verification on Google. I asks repeatedly for my password which doesn't work. I deleted and set up my gmail again, and the problem persists. Oddly, I can send an email to other accounts with my gmail account but can't recieve any in the account. I went to Google settings and made sure all the right check boxes were clicked. Ideas?