The production of intense neutron beams via thermonuclear reactions in laser-generated plasmas is investigated theoretically. So far, state-of-the-art neutron beams are produced via laser-induced particle acceleration leading to high-energy particle beams that subsequently interact with a secondary target. Here we show that neutron beams of similar intensity and two orders of magnitude narrower bandwidth can be obtained from thermonuclear reactions in plasmas generated by Petawatt-class lasers. We study to this end the reaction 2 H(d, n) 3 He in plasmas generated by Petawatt-class laser interacting with D2 gas jet targets and CD2 solid-state targets. The use of CD2 solid-state targets can also allow the direct measurement of the nuclear reaction rates at low temperatures and show great enhancement on the plasma screening comparing to the case of D2 gas jet targets, opening new possibilities to study these two so far unsolved issues in the field of astrophysics.Thermonuclear reactions occur in plasma environments in which the thermal energy of the ions can overcome the electrostatic repulsion in a collision between nuclei, leading to nuclear reactions [1]. The development of laser technology in the past decades provides a powerful tool for the study of nuclear reactions in laser-generated plasmas. As plasma is the most abundant form of matter in the universe, the latter provides the opportunity to access parameter regimes which can not be accessed in accelerator-based experiments, such as the direct measurements of nuclear reactions in nucleosynthesis-relevant energies and the role of the plasma effects on nuclear reactions [2-5], and might thus significantly advance our understanding of astrophysical environments. On the other hand, industrial applications of such studies, such as laser-induced ignition which makes fusion energy a viable alternative energy source [5][6][7], have also attracted a great deal of attention.Neutron production is one of the key areas of the field of nuclear reactions in laser-generated plasmas [8][9][10][11][12][13]. Normally the experimental access to high neutron flux is mainly at large-scale reactor and accelerator-based facilities. However, the development of Petawatt-class laser provides the opportunity of having intense neutron beam generated by comparatively smaller-scale laser facilities [11][12][13]. The common solution for neutron production in the Petawatt-class laser facilities is via high-energy particle beams interacting with a secondary target, in which the lasers are used for the acceleration of particles [11][12][13]. In this manner, intense neutron beams with the order of 10 9 -10 10 per pulse can be obtained [11][12][13].Neutrons produced from thermonuclear reactions in plasmas at a few keV temperatures have a much narrow energy spectrum comparing to the neutrons produced via high-energy ion beams interacting with a secondary target. In this letter, we study the intense neutron beams produced from thermonuclear reactions in laser-generated plasmas. We analyze the rea...