avoir.
There are several common actions in English that depend upon the infinitive "to be" or other infinitives. Their French equivalents are based on avoir:
avoir besoin de | — to need to; in need of |
avoir envie de | — to feel like |
avoir peur de | — in fear of |
avoir chaud | — to be warm or hot |
avoir l'air | — to seem (to have the air of) |
avoir l'habitude de | — to be used to; to be accustomed to |
avoir de la chance | — to be lucky |
avoir lieu | — to take place |
avoir froid | — to be cold |
avoir faim | — to be hungry |
avoir soif | — to be thirsty |
avoir sommeil | — to be sleepy |
avoir raison | — to be right |
avoir tort | — to be wrong |
avoir honte | — to be ashamed |
avoir mal | — to be in pain; to have an ache |