Raise your voice an octave. The first thing you notice about Chris Tucker's speech is its high octave. Chris speaks with a high voice that's magnified by its pitch. The tone is slightly nasal but the talk is forceful, giving his high octave a distinct sound. Raise your voice an octave or two to talk like Tucker.
Speak quickly. There are few people, both on screen and off, who speak faster than Chris Tucker. Even though Tucker modulates his speech so that some sentence are spoken slowly for effect, he quickly speeds up during a monologue or extended dialog, parsing similar sounding words together in a sentence that's crammed into a single word.
Extend your open vowels. Chris Tucker has an extremely effective way of extending his open vowels to accentuate comedic timing or simply to make people laugh. Tucker screams out words like "Ahhhh" where the sound of the vowel is similar to the "a" in "car." He likes to draw out the same sound in the word "What?" and follow it with a quick role of almost unintelligible phrases.
Get out your urban dictionary. In addition to peppering his speech with swear words, Tucker also uses urban metaphors and sayings when he talks. Tucker compares cockroaches to "Crips and Bloods" and talks about having "cookouts" and "drive-bys" on the White House lawn. Use some good urban slang and plenty of swearing to talk like Chris.