Sen. Carl Levin, chairman of the Armed Services Committee, and Sen. John McCain had pressed Dempsey for his personal assessment before moving ahead with his nomination to another two-year term. McCain and Levin have been pushing for a more aggressive response by the Obama administration to the deadly civil war.
Dempsey spelled out costs, ranging from millions to billions of dollars, for options ranging from training and arming vetted rebel groups, conducting limited strikes on Syria's air defenses and creating a no-fly zone or buffer zone.
The military leader said that while these steps would help the opposition and pressure Assad's government, "we have learned from the past 10 years, however, that it is not enough to simply alter the balance of military power without careful consideration of what is necessary in order to preserve a functioning state."
Dempsey's reference was to the wars in Iraq and Afghanistan.
The Joint Chiefs chairman said the creation of a no-fly zone would neutralize Syria's air defenses. It would require "hundreds of ground and sea-based aircraft, intelligence and electronic warfare support, and enablers for refueling and communications. Estimated costs are $500 million initially, averaging as much as a billion dollars per month over the course of a year."
He said that while it would likely result in the "near total elimination" of Syria's ability to bomb opposition strongholds, the risks would be the loss of U.S. aircraft. That would mean recovery efforts for American personnel.
He added that such a step "may also fail to reduce the violence or shift the momentum because the regime relies overwhelmingly on surface fires mortars, artillery and missiles."
Dempsey said the creation of a buffer zone, most likely a geographic area across the border with Turkey or Jordan, would give opposition forces a place to organize and train. Such a move would require thousands of U.S. ground forces, even stationed outside Syria, to back up those defending the zones.
"We must also understand risk-not just to our forces, but to our other global responsibilities. This is especially critical as we lose readiness due to budget cuts and fiscal uncertainty. Some options may not be feasible in time or cost without compromising our security elsewhere," Dempsey wrote.
Dempsey said he has provided President Barack Obama with options for the use of U.S. military force in Syria, but he declined to detail those choices.
"It would be inappropriate for me to try to influence the decision with me rendering an opinion in public about what kind of force we should use," Dempsey said.
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Associated Press writer Richard Lardner contributed to this report.
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Associated Press writer Donna Cassata contributed.