Put - положить, класть
give - дать, отдать
все это зависит от смысла
1) Put the books on the table, please.
2) Give me your bike, please.
3) Put the plant on the windowsill, please.
4) Mary is ready to give us her computer.
5) John never puts matches to his little cousins.
6) Mother doens't often give us sweet.