"As you know, our nation’s southern border has become both a humanitarian and security crisis," Abbott wrote.
"This crisis was created by President Biden and is one that requires immediate and decisive action to be stopped."
It comes after both NYC Mayor Eric Adams and DC Mayor Muriel Bowser called on the federal government for assistance dealing with an influx of migrants that are straining their cities' rampant urban infrastructures.
A majority of those asylum-seekers were bussed to Washington, DC from Texas and Arizona because of new measures signed by the states' Republican governors.
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Both Democrat officials have accused the moves of causing a "humanitarian crisis" in their cities.
"Your recent interest in this historic and preventable crisis is a welcome development- especially as the President and his Administration have shown no remorse for their actions nor desire to address the situation themselves," Abbott announced to Adams and Bowser.
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'As Governor, I invite you to visit our border region to see firsthand the dire situation that only grows more urgent with each passing day, and to meet with the local officials, who like yourselves, realize this matter deserves immediate federal action."
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He further pressed them to publicly demand that President Joe "secure the border and put an end to this disastrous crisis."
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"President Biden’s reckless open border policies have created a dangerous environment not only for tens of millions of Texans, but for communities all across the nation, including yours," the letter went on.
"I look forward to welcoming you the Texas-Mexico border so that you can see this crisis for yourself. Please contact my office to make travel arrangements for your visits."
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Adams announced a city-wide emergency on Monday and called on the federal government to step in as a significant influx of migrants strains New York City's shelter system.
About 4,000 asylum-seekers have come to NYC since May, Adams' office announced.
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"New York is a city of immigrants, and we will always welcome newcomers with open arms. Over the past two months, we have seen a significant increase in the number of asylum seekers arriving in our city’s shelter system," Adams announced in a statement.
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He had been calling the Biden administration for assistance since at least last month.
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Adams vowed in the Monday statement that he will "continue to work with federal and state partners to procure additional financial resources immediately" to help with the surge.
Throughout a July 21 press conference on the matter, Adams slammed Abbott and Arizona Governor Doug Ducey as "heartless" over their bussing orders.