Stanford is accused of bilking investors out of $7 billion in a massive Ponzi scheme.
U.S. District Judge David Hittner on Monday gave jurors in Houston an order meant to prod juries toward a unanimous verdict. A short time later, the jury ended work for the day. Deliberations were to resume Tuesday.
The jury has been deliberating since Wednesday.
Defense attorneys said Stanford made money for investors who bought certificates of deposit from his Caribbean bank.
Prosecutors countered that Stanford spent their money on failed businesses and a lavish lifestyle.