The magnetic phase diagram of the antiferromagneticHoGe3 compound(space group Cmcm,Z = 4, TN = 11 K) has been investigated by means of magnetic measurements, specific heat and high resolutionneutron powder diffraction. The specific heat and the magnetic measurements display anomalies atTN = 11 K and indicateminor transitions at T1 = 9.5 K T2 = 8.1 K andT3 = 4.8 K (onheating). The neutron data in terms of wavevectors show three distinct regions of magnetic ordering with twomultiple-q competing magnetic structures and several transitions, besides the paramagnetic state: (i)the high temperature (HT) range is described with the wavevectors(q1,q2),q1 = (q1x,0,0) with and q2 = (q2x,0,q2z) with and and T dependent length,and the presence of q1 below T1 is not fully confirmed unlike the case for isomorphicTbGe3; (ii) the low temperature range (LT) is described with the wavevectors(q3,q4) with , , and subdivides into the lock-inLT1 range where have a constant length and theLT2 range where q3y andq4y have a lengthvariable with T; (iii) the intermediate temperature range refers to the range of coexistence of the twostructures as metastable phases in varying proportions around the first-order transitionT2. Betweenthe vectors (q1, q2)and (q3, q4) describing the HT and the LT phases there is no simple(group–subgroup) symmetry relation and the transition between them atT2 is of first order (hysteresis effects). Part I of the paper focuses on the model independentanalysis of various sets of neutron data that lead to a rather complex magneticphase diagram. A model dependent description and refinements of the underlyingmultiple-q magnetic structures will be given in part II.