Tim Tebow and his wife, Demi - Leigh , welcomed their first child together back in July ... and the former Heisman trophy winner is loving every bit of fatherhood -- telling TMZ Sports it's been an "awesome" experience!!

We caught up with the two-time national champion out in NYC on Tuesday ... and while sleep may be at a premium these days, his face lit up when we asked how it's going with the little one.

"It is awesome, it is one of the biggest blessings in life," he said.

When baby Daphne grows up and searches her pops on the internet ... we hope she comes across this video, 'cause Tebow also had a special message for her.

"I want her to just know that she is loved and priceless to God," Tebow said. "She would always know that."

Of course, being a new parent always co

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