The poll by the Secure POS Vendor Alliance (SPVA) questioned cardholders in the United Kingdom, the United States and France, the Retail Bulletin stated.
It found that 73 percent want to see tougher security standards, while 62 percent would be worried about passing card or pin information to a vendor if its security had been compromised in the past.
Some 84 percent of those questioned thought it should be compulsory for companies hit by data security breaches to publicly disclose the lapse.
"These findings confirm the strong correlation between the strength and quality of security and consumers' views and behaviors toward using card payment systems, presenting the payments industry with a unique opportunity to come together and achieve positive change," said SPVA chairman Christophe Dolique.
Figures from Apacs show losses to card fraud in the UK alone totaled Â£609.9 million ($998.4 million) last year.