The synthetic nosean- and haüyne-like aluminosilicates with (MoO₄)²⁻ and (WO₄)²⁻ extra-framework anions were synthesized in H₂O-bearing systems (3 kbar, 750 °C) and studied by means of electron microprobe analysis, Raman spectroscopy, powder and single-crystal X-ray diffraction. The nosean-like phase contains up to 10.6 wt% MoO₃ and up to 5.1 wt% WO₃; the maximum content of MoO₃ in the haüyne-like phase is 22.5 wt%. The nosean-like phase with (MoO₄)²⁻ and (WO₄)²⁻ is cubic, P-43m, a = 9.1278(10) Å, V = 760.498(14) ų, Z = 1. This compound with the crystal chemical formula Na_7.68[(Al,Si)₁₂O₂₄] {[(Mo_0.65W_0.35)O₄]_0.78□_0.22}·H₂O has a disordered Al/Si framework, that is caused by the high temperature of crystallization (t = 750 °C) with further quenching at room temperature. Despite the same conditions of synthesis, the haüyne-like phase with (MoO₄)²⁻, Na_5.12Ca_1.92[Al₆Si₆O₂₄](MoO₄)_1.52 has an Al/Si-ordered framework. Its space group is P-43n, a = 9.1516(4) Å, V = 766.46(6) ų, Z = 1. In both synthesized sodalite-type aluminosilicates the anion groups (MoO₄)²⁻ and (WO₄)²⁻ are dynamically disordered. The polarized Raman spectra of both aluminosilicates show that Raman-active modes of (MoO₄)²⁻ and (WO₄)²⁻ correspond to vibrations of tetrahedral anions with symmetry T_d. The presence of H₂O was fixed only in the nosean-like compound and no preferred orientation of water molecule was detected.