Photos: YAY, Khloe Kardashian gives birth to a baby this morning

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Khloé Kardashian has given birth!!!

According to TMZ:

Khloe delivered a baby girl early Thursday morning at a hospital outside Cleveland ... according to our Kardashian sources. This is Khloe and Cavaliers star Tristan Thompson's first baby together, but the news comes on the heels of a tumultuous time for the couple.

TMZ broke the story ... Tristan cheated on Khloe back in October when she was only 3 months pregnant. As we reported, he was caught on video making out and motorboating 2 women at a hookah lounge outside of Washington, D.C. And just 5 days ago, he was seen taking a woman back to his NYC hotel.

Khloe revealed the sex of the baby on the season finale of 'KUWTK.' The baby shower was pretty baller, too, and her baby registry was no joke.

TMZ broke the story ... Khloe got pregnant not long after her sisters, Kylie and Kim (via surrogate).

We were told Khloe conceived naturally. She and Tristan have been dating for well over a year, but their current relationship status is murky, to say the least.

It was previously reported that Tristan was allowed in the delivery room for his daughter's birth.

Congrats to Khloé (and Tristan).