No, all nuclear states do not have hydrogen bombs.
Nuclear weapons are the deadliest forms of explosive devices ever created. The atomic bombing of the Japanese cities Hiroshima and Nagasaki, at the end of the Second World War are examples of how destructive nuclear weapons can be.
As of 2017, it is estimated that there are 9,920 nuclear weapons in the world. Currently, there are eight countries in the world which have successfully tested nuclear weapons. Of these, five are ‘Non-Proliferation Treaty,’ designated nuclear weapons states. The United States, the United Kingdom, Russia, France, and China, are regarded as nuclear-weapons states under the terms of the Treaty on the Non-Proliferation (NPT) of Nuclear Weapons which was signed into action in 1970.
North Korea, India, and Pakistan, have not signed the NPT, and have tested their nuclear weapons after the treaty came into force. It is also suspected that Israel possesses nuclear weapons, however, the nation has never acknowledged it. But, it is believed that the nation has approximately 80 nuclear warheads.
South Africa used to possess nuclear weapons, but the nation dismantled them in the early 1990s. Belarus, Kazakhstan, and Ukraine, a part of the former Soviet Union, possessed nuclear weapons. However, Belarus and Kazakhstan transferred them to Russia, while, Ukraine disassembled them. All the three are party to the NPT.
Hydrogen bombs are more powerful than atomic bombs, but all nuclear countries do not possess the H-Bomb. Of the eight nations that possess nuclear weapons, five have hydrogen bombs; The United States, the United Kingdom, Russia, France, and China. Of the three remaining countries; India and Pakistan, does not possess hydrogen bombs, but North Korea has recently claimed that it has tested the H-bomb.