This paper presents a method for preparing matrix product states (MPS) with constant-depth adaptive quantum circuits, which outperforms traditional unitary circuits. The approach leverages midcircuit measurements and feedforward operations to prepare a diverse class of MPS, including those with short- and long-range entanglement, symmetry-protected topological (SPT) states, and states with various symmetries. The key insight is that certain MPS can be prepared in constant depth due to their specific structure, such as zero correlation length or global on-site symmetry. The method involves sequential preparation of small MPS, fusion measurements to merge them, and operator pushing to correct defects. The paper demonstrates that this approach can prepare a wide range of MPS, including those with tunable correlation length and those used in measurement-based quantum computation. The results show that adaptive circuits offer significant advantages over traditional unitary circuits for preparing MPS on near-term quantum devices.This paper presents a method for preparing matrix product states (MPS) with constant-depth adaptive quantum circuits, which outperforms traditional unitary circuits. The approach leverages midcircuit measurements and feedforward operations to prepare a diverse class of MPS, including those with short- and long-range entanglement, symmetry-protected topological (SPT) states, and states with various symmetries. The key insight is that certain MPS can be prepared in constant depth due to their specific structure, such as zero correlation length or global on-site symmetry. The method involves sequential preparation of small MPS, fusion measurements to merge them, and operator pushing to correct defects. The paper demonstrates that this approach can prepare a wide range of MPS, including those with tunable correlation length and those used in measurement-based quantum computation. The results show that adaptive circuits offer significant advantages over traditional unitary circuits for preparing MPS on near-term quantum devices.