A proposal for a phase gate and a Mølmer-Sørensen gate in the dressed state basis is presented. In order to perform the multi-qubit interaction, a strong magnetic field gradient is required to couple the phonon-bus to the qubit states. The gate is performed using resonant microwave driving fields together with either a radio-frequency (RF) driving field, or additional detuned microwave driving fields. The gate is robust to ambient magnetic field fluctuations due to an applied resonant microwave driving field. Furthermore, the gate is robust to fluctuations in the microwave Rabi frequency and is decoupled from phonon dephasing due to a resonant RF or a detuned microwave driving field. This makes this new gate an attractive candidate for the implementation of high-fidelity microwave based multi-qubit gates. The proposal can also be realized in laser-based set-ups.High-fidelity quantum gates are a crucial element in the growing field of quantum information processing (QIP) [1]. Many theoretical proposals for quantum entangling gates have been considered for trapped ions [2][3][4][5][6][7][8][9][10][11], one of the most promising candidates for QIP [12][13][14]. These proposals have triggered impressive experimental realizations [15][16][17][18][19][20][21][22][23][24][25]. Although these experiments within the laser based designs have achieved high fidelities [16,[22][23][24][25], the achieved fidelities within the microwave based designs have been limited.Considerable theoretical efforts have been made to counter the fidelity-damaging effects. Techniques, such as dynamical decoupling using echo-pulse sequences [26,27], and its continuous version using a continuously applied driving field [28-33], have been proposed and realized experimentally [20,[34][35][36]. Recently, a combination of the continuous techniques with gate operators has been proposed [10,11] and realized [16,17] for the laser-induced implementations.In this manuscript, we introduce a scheme for a geometric gate σ σ ⨂ z z , and a Mølmer-Sørensen (MS) gate σ σ ⨂ x x in the dressed state basis for microwave-based implementations. It can also be implemented in laserbased experimental set-ups. Our scheme combines the gate operator and continuous dynamical decoupling which results in the gate being decoupled from the main fidelity damaging noise sources such as ambient magnetic field and Rabi frequency fluctuations.In what follows, we derive the gate Hamiltonian for a microwave-based design, while highlighting the dynamical decoupling processes which protect from the main noise sources. We then go on showing explicitly how our scheme could also be implemented using laser rather than microwave radiation.