Straight off the MDC website at
http://huntfish.mdc.mo.gov/hunting-trapping/species/deer/deer-seasons-hoursHalfway down the page under Allowed-
"Centerfire pistols, revolvers or rifles using expanding-type bullets such as lead or copper."
The only prohibited ammunition is-
Ammunition propelling more than one projectile at a single discharge (such as buckshot)
Full hard metal case projectiles