Stephen, who raised £4.2m for the Teenage Cancer Trust after his story spread on social media, accepted the honour for services to the charity shortly before his death, aged 19, in May.
Sir Daniel, the first person to win three best actor Oscars, is rewarded for services to drama.
Actress Angelina Jolie, meanwhile, has been made an honorary dame for services to UK foreign policy and campaigning to end sexual violence in war zones.
"Working on the Preventing Sexual Violence Initiative and with survivors of rape is an honour in itself. I know that succeeding in our goals will take a lifetime and I am dedicated to it for all of mine."
