The Trump administration has released its first weekly report documenting the failure of some local law enforcement agencies to help federal immigration authorities apprehend undocumented immigrants.
One hundred and forty two criminals were released by the Texas county.
"Today's report from DHS is deeply disturbing and highlights the urgent need for a statewide sanctuary city ban in Texas", Abbott said in a statement.
Separately, that week, ICE issued 3,083 detainers, but it was not yet clear how many of those were honored or declined due to lags in reporting.
Over the weekend, Governor Abbott put pressure on the Texas House of Representatives to pass Senate Bill 4, a bill by State Senator Charles Perry (R-Lubbock) outlawing sanctuary jurisdictions in the state.
Travis County accounted for almost 70 percent of such releases, the most by any county in the country.
The suspects in those jails had convictions for domestic violence, burglary and forgery, among other crimes. It also shows that, though the ICE detainers were issued at various times, including early and late 2016, all of the detainer requests were recorded declined on February 1.
The list covers the cases of 206 unnamed individuals who ICE says committed "notable criminal activity", and the jails from which they were released.
In his January 25 executive order intensifying deportation efforts, President Trump said the Homeland Security secretary should compile a list of the agencies that refused to detain immigrants past the time they are supposed to be released and the crimes those immigrants are accused of, and make it public "on a weekly basis".
For example, ICE asked Travis County to detain someone charged with drug possession on October 16, 2010.
Williamson and Bastrop Counties are the only other Texas jurisdictions on the federal agency's list, with Williamson denying four detainer requests and Bastop declining three.
The majority of the inmates listed on Monday's report were from Mexico, although several were from Central America.
The report was mandated in President Donald Trump's executive order, "Enhancing Public Safety in the Interior of the United States", to expose sanctuary jurisdictions, meaning those who choose not to cooperate with federal immigration agents. Immigration detainers are a request from ICE to a jail or another local law enforcement agency to hold someone in violation of immigration law so they can be picked up.