We have performed nuclear quadrupole resonance and nuclear magnetic resonance measurements on UCoAl with strong Ising-type anisotropy under b- and c-axes uniaxial pressure. In the b-axis uniaxial pressure (P_∥ b) measurement, we observed an increase in the metamagnetic transition field with increasing P_∥ b. In the c-axis uniaxial pressure (P_∥ c) measurement, on the other hand, we observed a ferromagnetic transition in zero magnetic field along the c-axis above P_∥ c = 0.08 GPa. The anomaly of

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... the nuclear spin-lattice relaxation rate divided by the temperature [ (T_1 T)^-1] at T = 20 K is suppressed by P_∥ b and slightly enhanced by P_∥ c. The anisotropic uniaxial pressure response indicates that uniaxial pressure is a good parameter for tuning the Ising magnetism in UCoAl.