Romney says it's not about the weapons used in the attacks, but about the individuals who choose to commit violence against others.
The Republican presidential candidate spoke hours after a police officer, a gunman and a third person were killed in a shooting near Texas A&M University.
Romney says "thoughtful consideration" is needed about what can be done to prevent violent attacks. But he says he isn't calling for any particular legislation.
Romney noted that there had been three such tragedies in a row, referring to a July shooting rampage in Aurora, Colo., and another attack earlier this month at a Sikh temple in Oak Creek, Wis.