Information about earning / transferring points to Marriott Rewards: Points earned during a billing cycle will be automatically transferred to Marriott Rewards after the end of each billing cycle. (creditcards.chase.com)
Just be aware that if your payment is late, you will lose any rewards for purchases during the billing cycle. (creditshout.com)
If a late fee is charged to your account, you will lose any miles applied to your rewards balance during that billing cycle. (upgradedpoints.com)